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

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

1,1

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.

Links

Table of n, a(n) for n=1..54.

Example

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

Crossrefs

Sequence in context: A029556 A045224 A362630 * A063346 A350044 A241670

Adjacent sequences: A308807 A308808 A308809 * A308811 A308812 A308813

Keyword

base,easy,nonn

Author

Austin Shapiro, Jun 25 2019

Status

approved