Formula for primes (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Formula for primes" in English language version.

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12doi.org

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9jstor.org

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6arxiv.org

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5semanticscholar.org

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3uwaterloo.ca

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1maa.org

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1primegrid.com

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1primerecords.dk

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1harvard.edu

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mathscinet.ams.org

Wilf, Herbert S. (1982), "What is an answer?", The American Mathematical Monthly, 89 (5): 289–292, doi:10.2307/2321713, JSTOR 2321713, MR 0653502
Dudley, Underwood (1983), "Formulas for primes", Mathematics Magazine, 56 (1): 17–22, doi:10.2307/2690261, JSTOR 2690261, MR 0692169

ams.org

Mills, W. H. (1947), "A prime-representing function" (PDF), Bulletin of the American Mathematical Society, 53 (6): 604, doi:10.1090/S0002-9904-1947-08849-2.

arxiv.org

Tóth, László (2017), "A Variation on Mills-Like Prime-Representing Functions" (PDF), Journal of Integer Sequences, 20 (17.9.8), arXiv:1801.08014.
Elsholtz, Christian (2020), "Unconditional Prime-Representing Functions, Following Mills", American Mathematical Monthly, 127 (7), Washington, DC: Mathematical Association of America: 639–642, arXiv:2004.01285, doi:10.1080/00029890.2020.1751560, S2CID 214795216
Baillie, Robert (5 June 2017), "Wright's Fourth Prime", arXiv:1705.09741v3 [math.NT]
Fridman, Dylan; Garbulsky, Juli; Glecer, Bruno; Grime, James; Tron Florentin, Massi (2019), "A Prime-Representing Constant", American Mathematical Monthly, 126 (1), Washington, DC: Mathematical Association of America: 70–73, arXiv:2010.15882, doi:10.1080/00029890.2019.1530554, S2CID 127727922
Simon Plouffe (2019), "A set of formulas for primes", arXiv:1901.01849 [math.NT] As of January 2019, the number he gives in the appendix for the 50th number generated is actually the 48th.
Rowland, Eric S. (2008), "A Natural Prime-Generating Recurrence", Journal of Integer Sequences, 11 (2): 08.2.8, arXiv:0710.3217, Bibcode:2008JIntS..11...28R.

books.google.com

Matiyasevich, Yuri V. (1999), "Formulas for Prime Numbers", in Tabachnikov, Serge (ed.), Kvant Selecta: Algebra and Analysis, vol. II, American Mathematical Society, pp. 13–24, ISBN 978-0-8218-1915-9.

doi.org

Mackinnon, Nick (June 1987), "Prime number formulae", The Mathematical Gazette, 71 (456): 113–114, doi:10.2307/3616496, JSTOR 3616496, S2CID 171537609.
Willans, C. P. (December 1964), "On formulae for the $n$ th prime number", The Mathematical Gazette, 48 (366): 413–415, doi:10.2307/3611701, JSTOR 3611701, S2CID 126149459.
Neill, T. B. M.; Singer, M. (October 1965), "To the Editor, The Mathematical Gazette", The Mathematical Gazette, 49 (369): 303–303, doi:10.2307/3612863, JSTOR 3612863
Goodstein, R. L.; Wormell, C. P. (February 1967), "Formulae For Primes", The Mathematical Gazette, 51 (375): 35–38, doi:10.2307/3613607, JSTOR 3613607
Wilf, Herbert S. (1982), "What is an answer?", The American Mathematical Monthly, 89 (5): 289–292, doi:10.2307/2321713, JSTOR 2321713, MR 0653502
Dudley, Underwood (1983), "Formulas for primes", Mathematics Magazine, 56 (1): 17–22, doi:10.2307/2690261, JSTOR 2690261, MR 0692169
Jones, James P.; Sato, Daihachiro; Wada, Hideo; Wiens, Douglas (1976), "Diophantine representation of the set of prime numbers", American Mathematical Monthly, 83 (6), Mathematical Association of America: 449–464, doi:10.2307/2318339, JSTOR 2318339, archived from the original on 2012-02-24.
Jones, James P. (1982), "Universal diophantine equation", Journal of Symbolic Logic, 47 (3): 549–571, doi:10.2307/2273588, JSTOR 2273588, S2CID 11148823.
Mills, W. H. (1947), "A prime-representing function" (PDF), Bulletin of the American Mathematical Society, 53 (6): 604, doi:10.1090/S0002-9904-1947-08849-2.
Elsholtz, Christian (2020), "Unconditional Prime-Representing Functions, Following Mills", American Mathematical Monthly, 127 (7), Washington, DC: Mathematical Association of America: 639–642, arXiv:2004.01285, doi:10.1080/00029890.2020.1751560, S2CID 214795216
E. M. Wright (1951), "A prime-representing function", American Mathematical Monthly, 58 (9): 616–618, doi:10.2307/2306356, JSTOR 2306356
Fridman, Dylan; Garbulsky, Juli; Glecer, Bruno; Grime, James; Tron Florentin, Massi (2019), "A Prime-Representing Constant", American Mathematical Monthly, 126 (1), Washington, DC: Mathematical Association of America: 70–73, arXiv:2010.15882, doi:10.1080/00029890.2019.1530554, S2CID 127727922

harvard.edu

ui.adsabs.harvard.edu

Rowland, Eric S. (2008), "A Natural Prime-Generating Recurrence", Journal of Integer Sequences, 11 (2): 08.2.8, arXiv:0710.3217, Bibcode:2008JIntS..11...28R.

jstor.org

Mackinnon, Nick (June 1987), "Prime number formulae", The Mathematical Gazette, 71 (456): 113–114, doi:10.2307/3616496, JSTOR 3616496, S2CID 171537609.
Willans, C. P. (December 1964), "On formulae for the $n$ th prime number", The Mathematical Gazette, 48 (366): 413–415, doi:10.2307/3611701, JSTOR 3611701, S2CID 126149459.
Neill, T. B. M.; Singer, M. (October 1965), "To the Editor, The Mathematical Gazette", The Mathematical Gazette, 49 (369): 303–303, doi:10.2307/3612863, JSTOR 3612863
Goodstein, R. L.; Wormell, C. P. (February 1967), "Formulae For Primes", The Mathematical Gazette, 51 (375): 35–38, doi:10.2307/3613607, JSTOR 3613607
Wilf, Herbert S. (1982), "What is an answer?", The American Mathematical Monthly, 89 (5): 289–292, doi:10.2307/2321713, JSTOR 2321713, MR 0653502
Dudley, Underwood (1983), "Formulas for primes", Mathematics Magazine, 56 (1): 17–22, doi:10.2307/2690261, JSTOR 2690261, MR 0692169
Jones, James P.; Sato, Daihachiro; Wada, Hideo; Wiens, Douglas (1976), "Diophantine representation of the set of prime numbers", American Mathematical Monthly, 83 (6), Mathematical Association of America: 449–464, doi:10.2307/2318339, JSTOR 2318339, archived from the original on 2012-02-24.
Jones, James P. (1982), "Universal diophantine equation", Journal of Symbolic Logic, 47 (3): 549–571, doi:10.2307/2273588, JSTOR 2273588, S2CID 11148823.
E. M. Wright (1951), "A prime-representing function", American Mathematical Monthly, 58 (9): 616–618, doi:10.2307/2306356, JSTOR 2306356

maa.org

mathdl.maa.org

Jones, James P.; Sato, Daihachiro; Wada, Hideo; Wiens, Douglas (1976), "Diophantine representation of the set of prime numbers", American Mathematical Monthly, 83 (6), Mathematical Association of America: 449–464, doi:10.2307/2318339, JSTOR 2318339, archived from the original on 2012-02-24.

newscientist.com

Steckles, Katie (January 26, 2019), "Mathematician's record-beating formula can generate 50 prime numbers", New Scientist

primegrid.com

PrimeGrid's AP27 Search, Official announcement, from PrimeGrid. The AP27 is listed in "Jens Kruse Andersen's Primes in Arithmetic Progression Records page".

primerecords.dk

PrimeGrid's AP27 Search, Official announcement, from PrimeGrid. The AP27 is listed in "Jens Kruse Andersen's Primes in Arithmetic Progression Records page".

semanticscholar.org

api.semanticscholar.org

Mackinnon, Nick (June 1987), "Prime number formulae", The Mathematical Gazette, 71 (456): 113–114, doi:10.2307/3616496, JSTOR 3616496, S2CID 171537609.
Willans, C. P. (December 1964), "On formulae for the $n$ th prime number", The Mathematical Gazette, 48 (366): 413–415, doi:10.2307/3611701, JSTOR 3611701, S2CID 126149459.
Jones, James P. (1982), "Universal diophantine equation", Journal of Symbolic Logic, 47 (3): 549–571, doi:10.2307/2273588, JSTOR 2273588, S2CID 11148823.
Elsholtz, Christian (2020), "Unconditional Prime-Representing Functions, Following Mills", American Mathematical Monthly, 127 (7), Washington, DC: Mathematical Association of America: 639–642, arXiv:2004.01285, doi:10.1080/00029890.2020.1751560, S2CID 214795216
Fridman, Dylan; Garbulsky, Juli; Glecer, Bruno; Grime, James; Tron Florentin, Massi (2019), "A Prime-Representing Constant", American Mathematical Monthly, 126 (1), Washington, DC: Mathematical Association of America: 70–73, arXiv:2010.15882, doi:10.1080/00029890.2019.1530554, S2CID 127727922

uwaterloo.ca

cs.uwaterloo.ca

Caldwell, Chris K.; Cheng, Yuanyou (2005), "Determining Mills' Constant and a Note on Honaker's Problem", Journal of Integer Sequences, 8, Article 05.4.1.
Tóth, László (2017), "A Variation on Mills-Like Prime-Representing Functions" (PDF), Journal of Integer Sequences, 20 (17.9.8), arXiv:1801.08014.
Rowland, Eric S. (2008), "A Natural Prime-Generating Recurrence", Journal of Integer Sequences, 11 (2): 08.2.8, arXiv:0710.3217, Bibcode:2008JIntS..11...28R.

web.archive.org

Jones, James P.; Sato, Daihachiro; Wada, Hideo; Wiens, Douglas (1976), "Diophantine representation of the set of prime numbers", American Mathematical Monthly, 83 (6), Mathematical Association of America: 449–464, doi:10.2307/2318339, JSTOR 2318339, archived from the original on 2012-02-24.