• Green and independently by Alexander Sapozhenko in 2003. Erdős conjecture Cameron, P. J.; Erdős, P. (1990), "On the number of sets of integers with various...
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  • 2000. The Erdős–Stewart conjecture on the Diophantine equation n! + 1 = pka pk+1b, solved by Florian Luca in 2001. The CameronErdős conjecture on sum-free...
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  • {\displaystyle 1^{1}+2^{1}=3^{1}} the only solution to the Erdős–Moser equation? Erdős–Straus conjecture: for every n ≥ 2 {\displaystyle n\geq 2} , there are...
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  • Thumbnail for Peter Cameron (mathematician)
    produced over 350 academic papers. In 1988, he posed the CameronErdős conjecture with Paul Erdős. He was awarded the London Mathematical Society's Whitehead...
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  • O ( 2 N / 2 ) {\displaystyle O(2^{N/2})} , as predicted by the CameronErdős conjecture. How many sum-free sets does an abelian group G contain? What is...
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  • Erdős conjecture on arithmetic progressions Erdős discrepancy problem Erdős distinct distances problem Burr–Erdős conjecture CameronErdős conjecture...
    3 KB (229 words) - 20:42, 6 February 2025
  • Thumbnail for Ben Green (mathematician)
    arithmetic progressions in sumsets, as well as a proof of the CameronErdős conjecture on sum-free sets of natural numbers. He also proved an arithmetic...
    13 KB (1,331 words) - 21:47, 14 August 2024
  • an even number of prime factors. Erdős conjectures Fuglede's conjecture Millennium Prize Problems Painlevé conjecture Mathematical fallacy Superseded theories...
    35 KB (1,461 words) - 12:50, 10 May 2025
  • Thumbnail for Abc conjecture
    The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory that arose out of a discussion of Joseph Oesterlé and...
    42 KB (4,588 words) - 14:36, 24 February 2025
  • Thumbnail for Erdős–Ko–Rado theorem
    the Erdős–Ko–Rado theorem limits the number of sets in a family of sets for which every two sets have at least one element in common. Paul Erdős, Chao...
    44 KB (5,592 words) - 20:57, 17 April 2025
  • Thumbnail for Cameron Leigh Stewart
    best unconditional estimates for the abc conjecture. In 2013, he solved an old problem of Erdős (so his Erdős number is 1) involving Lucas and Lehmer numbers...
    6 KB (636 words) - 07:49, 9 June 2024
  • 1016/0012-365X(82)90204-7. Sapozhenko, Alexander (2003). "The Cameron-Erdos conjecture". Doklady Akademii Nauk. 393: 749–752. Sapozhenko, Alexander (2002)...
    23 KB (4,349 words) - 06:34, 15 May 2025
  • Thumbnail for Wojciech Samotij
    Wojciech Samotij (category Erdős Prize recipients)
    Robert; Samotij, Wojciech (January 2014), "A refinement of the Cameron-Erdős conjecture", Proceedings of the London Mathematical Society, 108 (1): 44–72...
    7 KB (553 words) - 13:02, 23 November 2024
  • Thumbnail for Six degrees of separation
    collaboration distance with mathematician Paul Erdős is called the Erdős number. Erdős-Bacon numbers and Erdős-Bacon-Sabbath (EBS) numbers are further extensions...
    44 KB (5,088 words) - 01:03, 19 May 2025
  • Thumbnail for József Balogh (mathematician)
    Arxiv with N. Alon, R. Morris, W. Samotij: A refinement of the Cameron-Erdös Conjecture, Proc. London Mathematical Society, vol. 108, 2014, pp. 44–72....
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  • Peter Cameron Louis Comtet John Horton Conway On Numbers and Games Winning Ways for your Mathematical Plays Persi Diaconis Ada Dietz Paul Erdős Erdős conjecture...
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  • (combinatorics) CameronErdős theorem (discrete mathematics) Corners theorem (arithmetic combinatorics) Courcelle's theorem (graph theory) De Bruijn–Erdős theorem...
    78 KB (6,293 words) - 12:16, 2 May 2025
  • Thumbnail for G. H. Hardy
    Hardy and Ramanujan became close collaborators. In an interview by Paul Erdős, when Hardy was asked what his greatest contribution to mathematics was...
    33 KB (3,496 words) - 10:11, 19 May 2025
  • Thumbnail for Italo Jose Dejter
    1993). Congr. Numer. 94 (1993), 67–78 Erdős P. "Some of my favourite unsolved problems", in: A Tribute to Paul Erdős (A. Baker, B. Bollobás & A. Hajnal,...
    40 KB (5,660 words) - 14:38, 5 April 2025
  • 10103. Chvátal, Vašek (2021). "1.5: Erdős's proof of Bertrand's postulate". The Discrete Mathematical Charms of Paul Erdős: A Simple Introduction. Cambridge...
    70 KB (8,432 words) - 06:19, 30 April 2025
  • Thumbnail for John Urschel
    playing guard for the Baltimore Ravens." Since 2017, Urschel has had an Erdős number of 4. His PhD thesis on Graphs, Principal Minors, and Eigenvalue...
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  • Contemporary Literature at the University of Southampton 23 Feb 2023 Paul Erdős Colva Roney-Dougal, Professor of Pure Mathematics at the University of St...
    459 KB (296 words) - 13:10, 22 May 2025
  • Thumbnail for Fibonacci sequence
    3, 21, and 55 are the only triangular Fibonacci numbers, which was conjectured by Vern Hoggatt and proved by Luo Ming. No Fibonacci number can be a...
    86 KB (13,066 words) - 15:37, 16 May 2025
  • receptors') allows our body to powerfully combat cancer." 2014: Paul Erdős' conjecture about prime gaps was proved by Kevin Ford, Ben Green, Sergei Konyagin...
    99 KB (11,335 words) - 08:11, 16 May 2025
  • Israeli researcher in ergodic theory and arithmetic combinatorics, won Erdős Prize Magdolna Zimányi (1934–2016), pioneer of Hungarian computing Mathematics...
    196 KB (23,282 words) - 19:34, 18 May 2025