A085736 Numbers n such that all groups of order n are solvable.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84

Offset: 1

Author

Andrew Niedermaier, Jul 20 2003

Keywords

• nonn

Examples

			The symmetric and alternating groups on 5 elements are not solvable and have orders 60 and 120 respectively.
		

Links

• Eric Weisstein's World of Mathematics, Solvable groups

Crossrefs

See A056866, the complementary set of numbers, which is the main entry for this question.