A175973 Primes p such that each of the decimal numbers p^k for k=1..7 has exactly two 1s.

14591, 11225237, 12050149, 13801993, 89186231, 119474633, 125361787, 126196387, 127491563, 128153203, 137018603, 137399173, 157801387, 213873157, 299431019, 731831437, 1146462257, 1149800857, 1236918523, 1452210367, 1712996843, 1719567953, 1918333693, 1955601727

Offset

1,1

Comments

Subsequence of A175972 which in turn is subsequence of A175964.

Links

Table of n, a(n) for n=1..24.

Prog

(Python)
from somewhere import primegen
for p in primegen():
    if all(str(p**k).count('1') == 2 for k in range(1, 8)):
        print(p) # Lucas A. Brown, Mar 23 2024

Crossrefs

Cf. A175964, A175972.

Sequence in context: A252145 A249082 A175972 * A265651 A153428 A032736

Adjacent sequences: A175970 A175971 A175972 * A175974 A175975 A175976

Keyword

base,nonn

Author

Zak Seidov, Nov 01 2010

Extensions

a(19)-a(24) from Lucas A. Brown, Mar 23 2024

Definition clarified by N. J. A. Sloane, Mar 23 2024.

Status

approved