Conjecturally complete listing Idoneal number






the 65 idoneal numbers found leonhard euler , carl friedrich gauss , conjectured such numbers are



1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16, 18, 21, 22, 24, 25, 28, 30, 33, 37, 40, 42, 45, 48, 57, 58, 60, 70, 72, 78, 85, 88, 93, 102, 105, 112, 120, 130, 133, 165, 168, 177, 190, 210, 232, 240, 253, 273, 280, 312, 330, 345, 357, 385, 408, 462, 520, 760, 840, 1320, 1365, , 1848 (sequence a000926 in oeis).

in 1973, peter j. weinberger proved @ 1 other idoneal number exists, , list above complete if generalized riemann hypothesis holds.








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