Wednesday, June 25, 2025

A385288 - Contribution to the OEIS: Numbers with a prime number of prime factors, counted with multiplicity, and whose prime factors are each raised to a prime exponent

 A385288

Numbers with a prime number of prime factors, counted with multiplicity, and whose prime factors are each raised to a prime exponent.
0
4, 8, 9, 25, 27, 32, 49, 72, 108, 121, 125, 128, 169, 200, 243, 288, 289, 343, 361, 392, 500, 529, 675, 800, 841, 961, 968, 972, 1125, 1323, 1331, 1352, 1369, 1372, 1568, 1681, 1800, 1849, 2048, 2187, 2197, 2209, 2312, 2700, 2809, 2888, 3087, 3125, 3267, 3481
OFFSET
1,1
COMMENTS
a(n) = A114129(n) through n=25; then a(26) = 961 and A114129(26) = 864.
Subset of A056166.
Subset of A001694. - Michael De Vlieger, Jun 25 2025.
LINKS
EXAMPLE
200 = 2^3 * 5^2; 200 has a prime number of prime factors, counted with multiplicity (3 + 2 = 5), and exponents 3 and 2 are prime.
MATHEMATICA
Select[Range[10^4], AllTrue[Last/@FactorInteger[#], PrimeQ]&&PrimeQ[PrimeOmega[#]]&]
PROG
(PARI) isok(k) = my(f=factor(k)); isprime(bigomega(k)) && (sum(k=1, #f~, isprime(f[k, 2])) == omega(f)); \\ Michel Marcus, Jun 25 2025
KEYWORD
nonn,new
AUTHOR
James C. McMahon, Jun 24 2025

Multiple Dimensions of Time - Part 4

Another article has been published about time existing in multiple dimensions. Gunther Kletetschka recently published Three-Dimensional Time: A Mathematical Framework for Fundamental Physics in Reports in Advances of Physical Sciences, Volume 09, 2025.

Prior posts on this subject include:

Multiple Dimensions of Time

Dimensions of time raised in science fiction: Robert Heinlein book, The Pursuit of the Pankera (The Pursuit of the Pankera | Arc Manor Books)

Multiple Dimensions of Time - Part 2:

Dynamical topological phase realized in a trapped-ion quantum simulator | Nature

Multiple Dimensions of Time - Part 3:

Relativity of superluminal observers in 1 + 3 spacetime

Monday, June 23, 2025

Vera C. Rubin Observatory

 



The Vera C. Rubin Observatory, located at an altitude of 2700 m in Chile, recently became operational. The observatory is named for Vera C. Rubin, an American astronomer who pioneered discoveries about galactic rotation rates (this discovery has led to the understanding of dark matter).

Site construction began on 14 April 2015 with the ceremonial laying of the first stone. The first on-sky observations with the engineering camera occurred on 24 October 2024, while system first light images were released 23 June 2025. Images are recorded by a 3.2-gigapixel charge-coupled device imaging (CCD) camera, the largest digital camera ever constructed.

Some of its first released images are below:



(Photos: NSF–DOE Vera C. Rubin Observatory)



Here is a video of asteroids detected by the new telescope: https://www.youtube.com/watch?v=DTuq-vBsDJE&t=45s

Thursday, June 12, 2025

X = 500 (Space X completes 500th mission)

 

(Graphic: https://www.iconfinder.com/bogdanrosu)

Later today (6/12/2025), if the launch goes as scheduled, Space X will have launched their 500th mission. The vast majority of their missions have been made with the Falcon 9 platform which employs the re-useable first-stage booster. Space X has drastically reduced the cost of launching payloads into space by reusing the first stage. One such booster, B1062, was used 25 times.

As of this date,  SpaceX accounted for approximately 73% of global space launches.

Sunday, June 8, 2025

800,000,000,000 Stars

 

(Image: NASA, ESA, CSA, STScI )

In the image above, the James Webb Space Telescope (JWST) captures the Sombrero galaxy in near-infrared and mid-infrared wavelengths. This galaxy is estimated to have approximately 800,000,000,000 stars.


The image above compares the galaxy in infrared and visible wavelengths. 

Read more from the JWST imaging of the Sombrero galaxy at: https://www.nasa.gov/image-article/webb-sees-sombrero-galaxy-in-near-infrared/

Prior posts on JWST:
Number of planets in the universe:

Earliest star formation:

Top ten JWST photographs:



Friday, June 6, 2025

Famous Mathematicians of Vietnam

 



Based on available information and their prominence in global mathematics, here are five notable Vietnamese mathematicians:

Ngô Bảo Châu (b. 1972)

Renowned for proving the fundamental lemma for automorphic forms, he became the first Vietnamese to win the Fields Medal in 2010, often regarded as the highest honor in mathematics. His work has had a significant impact on algebraic geometry, and he is a professor at the University of Chicago.

(Bởi Oberwolfach Photo Collection – https://opc.mfo.de/detail?photo_id=9920, CC BY-SA 2.0 de, https://commons.wikimedia.org/w/index.php?curid=11234718)


Hoàng Xuân Sính (b. 1933)

A pioneering figure, she was the first female mathematics professor in Vietnam and a student of the influential mathematician Alexander Grothendieck. Her work in mathematics education and research during challenging times, including the Vietnam War, has left a lasting legacy.


(https://golem.ph.utexas.edu/category/2022/06/hong_xun_snh.html)


Phạm Tuấn Huy

Recognized as the second Vietnamese mathematician to receive a Clay Research Fellowship, following Ngô Bảo Châu. His contributions to mathematics, though less detailed in public records, mark him as an emerging figure in the global mathematical community.


(https://stanfordsciencefellows.stanford.edu/people/huy-tuan-pham)



Phan Thanh Nam

Honored in 2020 as the first Vietnamese mathematician to receive a prestigious international award (specific details vary), his work in mathematical physics has gained attention, adding to Vietnam’s growing mathematical reputation.


(https://www.mcqst.de/about/members/phan-thanh-nam.html)


Lương Thế Vinh (1441–1496)

A historical scholar and mathematician from the Lê dynasty, he is celebrated in Vietnam for his contributions to mathematics education and problem-solving, including the compilation of mathematical texts that influenced Vietnamese scholarship.

(Bởi Không rõ – http://thltvq1.edu.vn/tin-tuc/index.php?option=com_content&view=article&id=326:tieu-su-luong-the-vinh&catid=103:truyen-thong&Itemid=467, Phạm vi công cộng, https://commons.wikimedia.org/w/index.php?curid=40677055)


Tuesday, June 3, 2025

Famous Brazilian Mathematicians


Brazil has produced many notable mathematicians who have made significant contributions to various fields of mathematics. Below is a list of ten prominent Brazilian mathematicians, based on their recognition, contributions, and impact, as derived from available information. Note that "fame" is subjective, and this list prioritizes those with international recognition, significant awards, or historical importance, while acknowledging that comprehensive data on all Brazilian mathematicians is limited.


1.  Artur Avila (b. 1979)  

   -Field: Dynamical systems, spectral theory, chaos theory.  

   -Notable Achievements: First Latin American to win the Fields Medal (2014), recognized for his work in dynamical systems. His contributions have brought clarity to the field of chaos theory, earning him global acclaim. 

(https://en.wikipedia.org/wiki/Artur_Avila)(https://americasquarterly.org/fulltextarticle/aq-top-5-latin-american-academics-artur-avila/)
(https://twas.org/article/brazilian-artur-avila-wins-twas-lenovo-prize)

   -Why Famous: The Fields Medal, often considered the "Nobel Prize of mathematics," marks him as Brazil’s most celebrated contemporary mathematician.


2. Jacob Palis (1940–2025)

   - Field: Dynamical systems.  

   - Notable Achievements: Internationally recognized for his work in dynamical systems, served as president of the International Mathematical Union, and received numerous awards, including the Balzan Prize.


(https://impa.br/en/notices/morre-matematico-jacob-palis-gigante-da-ciencia-brasileira/)
(https://www.famousfix.com/list/21st-century-brazilian-mathematicians)

   - Why Famous: A giant in Brazilian science, he held influential roles and mentored many mathematicians.


3. Júlio César de Mello e Souza (1895–1974)

   - Field: Mathematics education, recreational mathematics.  

   - Notable Achievements: Known by his pseudonym Malba Tahan, he wrote *The Man Who Counted*, a popular book blending mathematics with storytelling, widely influential in Brazil and beyond.

(https://proofwiki.org/wiki/Mathematician:Mathematicians/Sorted_By_Nation/Brazil)
(https://www.famousfix.com/list/brazilian-mathematicians)

   - Why Famous: His accessible works popularized mathematics in Brazil.


4. Manfredo Perdigão do Carmo (1928–2018)

   - Field: Differential geometry.  

   - Notable Achievements: Renowned for his work in differential geometry, particularly on Riemannian manifolds, and authored influential textbooks used worldwide.

 (https://proofwiki.org/wiki/Mathematician:Mathematicians/Sorted_By_Nation/Brazil)

   - Why Famous: His textbooks and research contributions have a lasting impact on global mathematics education.


5. Elon Lages Lima (1929–2017)

   - Field: Topology, mathematics education.  

   - Notable Achievements**: A leading figure in Brazilian mathematics, he contributed to topology and wrote numerous textbooks that shaped mathematics education in Brazil. 

 (https://proofwiki.org/wiki/Mathematician:Mathematicians/Sorted_By_Nation/Brazil)

   - Why Famous: His educational contributions made him a household name in Brazilian academia.


6. Paulo Ribenboim (b. 1928)

   - Field: Number theory.  

   - Notable Achievements: Known for his work in number theory, particularly on prime numbers and Fermat’s Last Theorem, and authored several influential books.  

(https://proofwiki.org/wiki/Mathematician:Mathematicians/Sorted_By_Nation/Brazil)

   - Why Famous: His extensive publications and international career (notably in Canada) brought him recognition.


7. Fernando Codá Marques (b. 1979)

   - Field: Differential geometry, geometric analysis.  

   - Notable Achievements: Recognized for solving major conjectures in geometric analysis, he received the ICTP Ramanujan Prize and other honors.

(https://www.famousfix.com/list/21st-century-brazilian-mathematicians)(https://www.famousfix.com/list/brazilian-mathematicians)

   - Why Famous: His groundbreaking work has earned him international acclaim among modern mathematicians.


8. Gauss M. Cordeiro (b. 1952)

   - Field: Statistics, probability.  

   - Notable Achievements: Highly cited for his contributions to statistical distributions and regression models, with significant influence in applied mathematics. 

(https://research.com/scientists-rankings/mathematics/br)

   - Why Famous: His prolific research output has made him one of Brazil’s most cited mathematicians.


9. José Mario Martínez (b. 1948)

   - Field: Optimization, numerical analysis.  

   - Notable Achievements**: Known for his work in nonlinear optimization and numerical methods, with applications in computational mathematics.

(https://research.com/scientists-rankings/mathematics/br)

   - Why Famous: His contributions to optimization have practical and academic impact, particularly in Brazil.


10. Luiz Henrique Jacy Monteiro (1918–1975)

    - Field: Algebra, mathematical analysis.  

    - Notable Achievements**: Played a major role in developing Brazilian mathematics in the mid-20th century, particularly through his work at Brazilian universities. 

(https://mathshistory.st-andrews.ac.uk/Biographies/Monteiro/)

    - Why Famous: His foundational contributions helped establish modern mathematics in Brazil.


Notes:  

- This list is curated based on available sources, prioritizing mathematicians with international recognition (e.g., Fields Medal, major awards) or significant influence in Brazil (e.g., educational impact). 

(https://pantheon.world/profile/occupation/mathematician/country/brazil)(https://research.com/scientists-rankings/mathematics/br)(https://proofwiki.org/wiki/Mathematician:Mathematicians/Sorted_By_Nation/Brazil)

- Other notable mathematicians, such as Celso C. Ribeiro, Benar Fux Svaiter, or Welington de Melo, could be included but were less frequently cited in sources for broad fame. 

(https://research.com/scientists-rankings/mathematics/br)(https://www.famousfix.com/list/21st-century-brazilian-mathematicians)

Post and graphic created by Grok.

I apologize for the inaccurate depictions in the title graphic. Below are some photos of the featured mathematicians:

Jacob Palis
(https://upload.wikimedia.org/wikipedia/commons/4/43/Jacob_Palis.jpg)

 Artur  Ávila 
https://commons.wikimedia.org/wiki/File:Artur_%C3%81vila_(cropped).jpg


Júlio César de Melo e Sousa
(https://commons.wikimedia.org/wiki/File:J%C3%BAlio_C%C3%A9sar_de_Melo_e_Sousa.png)


Monday, June 2, 2025

1679 - One important message sent from Earth 31 years ago

In 1974 an interstellar radio transmission was broadcast to the globular cluster Messier 13 from the Arecibo radio telescope in Puerto Rico. The message was 1679 bits long. The length of this message was chosen purposely because 1679 is a semiprime with the prime divisors 23 and 73. The message, when plotted in a 23 x 73 array, produces the graphic shown below:


While the human figure is the most recognized feature in the graphic, there are several other features included in the message (from Cassiday, George. "The Arecibo Message". University of Utah. Archived from the original on October 12, 2013. Retrieved 2013-10-13.):

  • The numbers one to ten (white; left to right) 
  • The atomic numbers of the elements hydrogen, carbon, nitrogen, oxygen, and phosphorus, which make up deoxyribonucleic acid (DNA) (purple)
  • The formulas for the chemical compounds that make up the nucleotides of DNA (green)
  • The estimated number of DNA nucleotides in the human genome, and a graphic of the double helix structure of DNA (white and blue, respectively)
  • The dimension (physical height, 5'9") of an average man (blue/white), a graphic figure of a human being (red), and the human population of Earth which was about 4 billion at the time (white)
  • A graphic of the Solar System (including Pluto), indicating which of the planets the message is coming from (yellow). The Sun is on the left and the third planet, Earth, raised toward the human figure
  • A graphic of the Arecibo radio telescope and the dimension (the physical diameter) of the transmitting antenna dish (purple, white, and blue)this message:




Friday, May 23, 2025

JWST Detects Earliest Formed Galaxies


(Image: NASA)

Since its launch in 2021 and deployment in 2022, the James Webb Space Telescope (JWST) continues to produce discoveries. Recently, the JWST detected the farthest galaxy from Earth found to date. Universe Today reported on JWST's latest findings: https://www.universetoday.com/articles/the-new-farthest-galaxy-has-been-found-by-webb-only-280-million-years-after-the-big-bang.


(Image: Image Credit: NASA, ESA, CSA, STScI, B. Robertson (UC Santa Cruz), B. Johnson (CfA), S. Tacchella (Cambridge), P. Cargile (CfA).)


The JWST has also been instrumental in detecting exoplanets:  https://jamesmacmath.blogspot.com/2022/01/number-of-planets-in-universe.html







Friday, May 16, 2025

40,000 Views!

(Graphic: Grok)

Celebrating this blog's 40,000th view. Here are some interesting numbers close to 40,000 from Wikipedia (interestingly, all facts of these numbers were from the OEIS):

40001 to 40999


 

Saturday, May 10, 2025

Zero (Part 2)

Image: Google Material Design icons icon pack

 

A prior post had Chat GPT write a blog about zero.

Recently, Scientific America published a similar article: https://www.scientificamerican.com/article/the-strange-and-surprising-history-of-the-once-rejected-zero/.

I'll leave it to the readers of this blog to say who did a better job summarizing the topic.

Also in this blog about "Zero" was the book review: https://jamesmacmath.blogspot.com/2023/12/book-review-zero-biography-of-dangerous.html.

Thursday, May 8, 2025

Pope Leo XIV - a mathematics major

 

(Image: https://www.iconfinder.com/davrossss)

On May 8, 2025, the Cardinal Robert Francis Prevost was elected as the 267th leader of the Catholic Church. He is the first American to hold the position. He has taken the name of Pope Leo XIV. In college, he earned a Bachelor of Science in Mathematics in 1977 from Villanova University.

Grok was asked about prior popes who had college degrees in mathematics or science. Response:

To determine whether any popes prior to Pope Leo XIV had college degrees in mathematics or science, we need to examine the educational backgrounds of the 266 popes who preceded him, from St. Peter to Pope Francis, focusing on those with formal degrees in these fields. Pope Leo XIV, elected on May 8, 2025, is noted for having a Bachelor of Science in Mathematics from Villanova University (1977), making him a rare case among popes with a formal degree in a scientific discipline. The question requires identifying other popes with comparable academic credentials in mathematics or science, which typically means a university degree or equivalent formal study in fields like mathematics, physics, astronomy, chemistry, or related disciplines.

### Historical Context and Challenges
**Education in Earlier Eras**: 
Formal university degrees, as we understand them today, were not common until the establishment of universities in the Middle Ages (e.g., Bologna, Paris, Oxford). Before this, education was often informal, through monasteries, cathedral schools, or private tutors, and focused on theology, philosophy, or the liberal arts (including the quadrivium: arithmetic, geometry, astronomy, and music).

 **Quadrivium and Science**: 
In the medieval period, mathematics and astronomy were part of the quadrivium, studied by many educated clergy, including some popes. However, this was not equivalent to a modern college degree, which involves specialized, structured study and a formal credential.

**Modern Era**: 
From the 17th century onward, universities began offering degrees closer to modern standards, and some clergy pursued studies in natural sciences. We’ll focus on popes from this period for potential degree-holders, while also checking notable earlier popes known for mathematical or scientific expertise.

### Analysis of Popes with Mathematical or Scientific Backgrounds
Based on historical records and recent sources, we’ll evaluate popes known for their education or contributions in mathematics or science, particularly those with formal degrees. The sources highlight Pope Sylvester II and Pope Leo XIV, with some mention of Pope Francis, so we’ll start with these and expand to others.

#### 1. Pope Sylvester II (999–1003)
**Background**: Born Gerbert of Aurillac (c. 946–1003), he was a renowned scholar in the 10th century, often considered one of the most learned men of his time.
 **Education**:
  - Studied at the monastery of Saint-Gerald in Aurillac, France, where he likely learned the basics of the quadrivium.
  - From 967 to 970, he studied in Catalonia (Vich, Spain), under Bishop Atto, where he was exposed to Islamic mathematics and astronomy, including the abacus and Hindu-Arabic numerals. This was advanced for Europe but not a formal degree program, as universities did not yet exist in this form.
  - Later, in Rheims, he taught and studied further, possibly at cathedral schools, focusing on mathematics, astronomy, and music theory. His education was equivalent to the highest scholarly training of his era but not a college degree, as no such credentials were awarded.

**Contributions**:
  - Reintroduced the abacus and armillary sphere to Western Europe, advancing mathematical and astronomical education.
  - Wrote treatises on arithmetic, geometry, and astronomy, used as educational guides for students.
  - Promoted the Hindu-Arabic numeral system, a significant mathematical advancement.

**Degree Status**: No formal college degree. His studies were conducted in monastic and cathedral schools, not universities, and no evidence suggests he received a degree-like credential. His expertise was exceptional but based on self-directed learning and mentorship, not a structured academic program.

**Sources**: Wikipedia entry on Sylvester II and “A Mathematician Who Became Pope” from The Renaissance Mathematicus confirm his mathematical and astronomical expertise but do not mention a degree.(https://en.wikipedia.org/wiki/Pope_Sylvester_II)(https://thonyc.wordpress.com/2012/05/12/a-mathematician-who-became-pope/)

#### 2. Pope Leo XIV (2025–present)
**Background**: Born Robert Francis Prevost in 1955, elected May 8, 2025, he is the first American pope and an Augustinian friar.

 **Education**:
  - Earned a Bachelor of Science in Mathematics from Villanova University in 1977, a formal undergraduate degree from an accredited institution.
  - Also studied philosophy at Villanova and earned a Master of Divinity from Catholic Theological Union (1982), plus licentiate (1984) and doctorate (1987) degrees in canon law from the Pontifical University of Saint Thomas Aquinas in Rome.

 **Relevance**: His mathematics degree is well-documented and directly answers the question as a benchmark. We’re looking for popes before him with similar credentials.

 **Sources**: Multiple sources confirm his mathematics degree, including Villanova University, Times Now, and Wikipedia.(https://www1.villanova.edu/university/media/press-releases/2025/pope.html)(https://www.timesnownews.com/education/pope-leo-xiv-vatican-bsc-math-graduate-educational-qualifications-article-151594036)(https://en.wikipedia.org/wiki/Pope_Leo_XIV)

#### 3. Pope Francis (2013–2025)
**Background**: Born Jorge Mario Bergoglio in 1936, he was pope until his death in 2025.

**Education**:
  - Studied at the Inmaculada Concepción Seminary in Buenos Aires, focusing on humanities and philosophy.
  - Earned a licentiate in philosophy from the Colegio Máximo de San José in San Miguel, Argentina.
  - Before entering the seminary, he studied chemistry and worked as a chemical technician at a food science laboratory in Buenos Aires. Some sources, including social media posts, claim he had a “degree in chemistry,” but this is inaccurate. He completed a technical diploma or training in chemistry, not a university degree.

**Degree Status**: No college degree in chemistry or any science/mathematics field. His chemical technician training was vocational, not equivalent to a bachelor’s or advanced degree. His formal degrees are in philosophy and theology.

**Sources**: The Express Tribune mentions speculation about a chemistry degree for a prior pope (likely Francis), but Vatican biographies and reliable sources clarify he was a chemical technician, not a degree-holder.(https://tribune.com.pk/story/2544754/did-pope-leo-xiv-study-math-at-villanova-social-media-fuels-debate)

#### 4. Other Popes with Potential Mathematical/Scientific Interests
To ensure completeness, let’s examine other popes noted for intellectual pursuits, especially in the modern era when degrees became common, or earlier popes known for scientific contributions.

**Pope Gregory XIII (1572–1585)**:
**Background**: Known for commissioning the Gregorian calendar, which required advanced mathematical and astronomical calculations.

**Education**: Studied law at the University of Bologna, earning a doctorate in canon law. He was a professor of law before becoming pope.

 **Scientific Connection**: Worked with astronomers like Christopher Clavius, a Jesuit mathematician, to reform the Julian calendar. The Gregorian calendar, introduced in 1582, corrected inaccuracies in leap years, requiring precise astronomical knowledge.

 **Degree Status**: No degree in mathematics or science, only in canon law. His involvement in the calendar was administrative, relying on experts like Clavius.

 **Source**: General historical knowledge; no specific web source needed.

**Pope Benedict XIV (1740–1758)**:
**Background**: Known as a scholar-pope with interests in science and medicine.

**Education**: Studied at the Collegio Clementino in Rome and earned a doctorate in canon and civil law from La Sapienza University.

**Scientific Connection**: Promoted scientific inquiry, corresponded with Enlightenment thinkers like Voltaire, and supported medical studies (e.g., anatomy). He encouraged the study of Newton’s physics in papal universities.

**Degree Status**: No degree in mathematics or science, only in law. His scientific interests were intellectual, not formal academic training.

**Source**: Catholic Encyclopedia (public domain).

**Pope Pius IX (1846–1878)**:
 **Background**: Longest-reigning pope, known for modernizing the Papal States.
 
**Education**: Educated at the Piarist College in Volterra and in Turin, focusing on theology and philosophy. No evidence of university degrees.

**Scientific Connection**: Oversaw the establishment of the Vatican Observatory in 1868, showing interest in astronomy, but this was administrative.
**Degree Status**: No degree in any field, let alone mathematics or science.
**Source**: Vatican Observatory history.

**Pope Pius XII (1939–1958)**:**Background**: Pope during World War II, known for intellectual rigor.
**Education**: Earned doctorates in canon law and theology from the Pontifical Gregorian University in Rome.
**Scientific Connection**: Had a keen interest in science, delivering speeches on cosmology and quantum physics (e.g., 1951 address to the Pontifical Academy of Sciences). Supported the Vatican Observatory and engaged with scientists.
**Degree Status**: No degree in mathematics or science, only in law and theology.
**Source**: Vatican archives; Pius XII’s speeches.

**Pope John Paul II (1978–2005)**:
**Background**: A scholar-pope with a broad intellectual background.

**Education**: Earned a doctorate in theology from the Angelicum in Rome and another in philosophy from the Jagiellonian University in Kraków.
**Scientific Connection**: Promoted dialogue between science and faith, issuing statements on evolution (1996) and supporting the Vatican Observatory. Studied philosophy, which included logic, but not mathematics or natural sciences.
**Degree Status**: No degree in mathematics or science, only in theology and philosophy.
 **Source**: Vatican biographies.

### Systematic Search for Other Candidates
**Medieval Popes**: Most popes before the 13th century were educated in monastic or cathedral schools, not universities. None are recorded as having degrees, as these institutions didn’t award them. Figures like Pope Leo IX (1049–1054) or Gregory VII (1073–1085) were scholars but focused on theology and canon law.
**Renaissance to Modern Popes**: From the 15th century, popes like Nicholas V (1447–1455) founded libraries and supported scholarship, but their education was in humanities or law. The rise of Jesuit education in the 16th century produced scientifically inclined clergy, but no popes from this order (except Francis, a Jesuit, discussed above) had science degrees.
**19th–20th Century Popes**: Popes like Leo XIII (1878–1903), who inspired Pope Leo XIV’s name, were educated in theology and law. Leo XIII studied at the Academy of Ecclesiastical Nobles in Rome, earning a doctorate in theology, not science.
**Vatican Observatory Connections**: Popes since the 19th century supported astronomy, but none studied it formally. Jesuit priests like Angelo Secchi worked under papal patronage, not as popes.

### Social Media Claims
Recent X posts claim Pope Leo XIV is the “second mathematician pope” after Sylvester II, suggesting only these two have mathematical backgrounds. However, these posts are inconclusive without evidence of other popes. Sylvester II’s lack of a formal degree undermines the claim’s precision, and no other popes are named in these posts or sources as having mathematics/science degrees.

### Conclusion
After examining historical records, notable popes, and recent sources:
- **Pope Sylvester II (999–1003)** is the only pope before Leo XIV with significant mathematical and scientific expertise, but he did not have a college degree, as formal degrees didn’t exist in his era. His studies in mathematics and astronomy were advanced but not credentialed.
- **No other popes** among the 266 before Leo XIV are recorded as having college degrees in mathematics or science. Many had interests in these fields (e.g., Gregory XIII, Benedict XIV, Pius XII), but their formal education was in theology, law, or philosophy.
- **Pope Francis** had chemical technician training, not a degree, so he doesn’t qualify.
- **Pope Leo XIV** is the first pope with a confirmed college degree in mathematics (BSc, Villanova, 1977).

Thus, **no popes prior to Pope Leo XIV had college degrees in mathematics or science**. Sylvester II is the closest, with equivalent expertise but no degree.(https://www1.villanova.edu/university/media/press-releases/2025/pope.html)(https://en.wikipedia.org/wiki/Pope_Sylvester_II)(https://thonyc.wordpress.com/2012/05/12/a-mathematician-who-became-pope/)

1679 - One important message sent from Earth 31 years ago

In 1974 an interstellar radio transmission was broadcast to the  globular cluster   Messier 13   from the Arecibo radio telescope in Puerto ...

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