On Amicable Numbers With Different Parity Export

@misc{citeulike:134286, abstract = {In this paper we provide a straightforward proof that if a pair of amicable numbers with different parity exists (one number odd and the other one even), then the odd amicable number must be a perfect square, while the even amicable number has to be equal to the product of a power of 2 and an odd perfect square.}, archivePrefix = {arXiv}, author = {D'Abramo, Germano}, citeulike-article-id = {134286}, citeulike-linkout-0 = {http://arxiv.org/abs/math.HO/0501402}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.HO/0501402}, day = {18}, eprint = {math.HO/0501402}, keywords = {amicable}, month = {March}, posted-at = {2005-03-21 17:30:30}, priority = {2}, title = {On Amicable Numbers With Different Parity}, url = {http://arxiv.org/abs/math.HO/0501402}, year = {2005} }

TY - ELEC ID - citeulike:134286 L3 - citeulike-article-id:134286 N2 - In this paper we provide a straightforward proof that if a pair of amicable numbers with different parity exists (one number odd and the other one even), then the odd amicable number must be a perfect square, while the even amicable number has to be equal to the product of a power of 2 and an odd perfect square. TI - On Amicable Numbers With Different Parity KW - amicable AU - D'Abramo, Germano PY - 2005/03/18/ UR - http://arxiv.org/abs/math.HO/0501402 ER -