An inquiry into whether or not 1000009 is a prime number Export

@misc{citeulike:3036304, abstract = {Translation of Utrum hic numerus: 1000009 sit primus, nec ne, inquiritur, Nova Acta Academiae Scientarum Imperialis Petropolitinae 10 (1797), 63-73; E699 in the Enestrom index. In this paper Euler shows that 1000009 is not prime by showing that it can be decomposed into the sum of two squares in more than one way, correcting a published list of primes which had included 1000009. He further shows that 1000081 is prime, by showing that it can only be decomposed into the sum of two squares in one way.}, archivePrefix = {arXiv}, author = {Euler, Leonhard}, citeulike-article-id = {3036304}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0412062}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0412062}, day = {6}, eprint = {math/0412062}, keywords = {available-in-tex-format, historical-work, mathematics, number-theory}, month = {Dec}, posted-at = {2008-07-23 08:58:26}, priority = {2}, title = {An inquiry into whether or not 1000009 is a prime number}, url = {http://arxiv.org/abs/math/0412062}, year = {2004} }

TY - ELEC ID - citeulike:3036304 L3 - citeulike-article-id:3036304 N2 - Translation of Utrum hic numerus: 1000009 sit primus, nec ne, inquiritur, Nova Acta Academiae Scientarum Imperialis Petropolitinae 10 (1797), 63-73; E699 in the Enestrom index. In this paper Euler shows that 1000009 is not prime by showing that it can be decomposed into the sum of two squares in more than one way, correcting a published list of primes which had included 1000009. He further shows that 1000081 is prime, by showing that it can only be decomposed into the sum of two squares in one way. TI - An inquiry into whether or not 1000009 is a prime number KW - available-in-tex-format KW - historical-work KW - mathematics KW - number-theory AU - Euler, Leonhard PY - 2004/Dec/06/ UR - http://arxiv.org/abs/math/0412062 ER -