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A308810 Odd positive integers k such that the repetend of the binary representation of 1/k contains more 1's than 0's.

Original entry on oeis.org

187, 323, 427, 549, 559, 687, 721, 779, 781, 927, 937, 965, 973, 1003, 1131, 1157, 1203, 1227, 1243, 1371, 1411, 1457, 1477, 1501, 1561, 1563, 1647, 1707, 1721, 1827, 1831, 1939, 1957, 2021, 2057, 2061, 2093, 2101, 2123, 2149, 2283, 2329, 2345, 2365, 2443, 2449, 2533, 2571, 2611, 2623, 2653, 2671, 2747, 2755
Offset: 1

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Author

Austin Shapiro, Jun 25 2019

Keywords

Comments

The first prime in the sequence is 937. If a prime number p occurs in the sequence, then the repetend of the binary representation of 1/p is necessarily of odd length.

Examples

			For example, 1/187 = 0.[0000000101011110011101011011101110001101]_2, where the bracketed repetend includes 21 ones and 19 zeros. Therefore, 187 is in the sequence.

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