A279956 Primes p such that every suffix of the base-4 representation of p is either a prime or 1.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 37, 43, 53, 59, 61, 67, 71, 83, 101, 107, 131, 139, 151, 157, 181, 193, 197, 199, 211, 229, 251, 257, 263, 269, 293, 317, 449, 467, 523, 541, 571, 613, 619, 643, 709, 769, 773, 787, 797, 811, 821, 827, 829, 839, 907, 919, 967, 997, 1019, 1031, 1061

Offset

1,1

Links

Indranil Ghosh, Table of n, a(n) for n = 1..807

Example

107 is a term in the sequence, since 107_10=1223_4, and 223_4, 23_4 and 3_4 (43_10, 11_10, and 3_10) are all prime.

Crossrefs

Cf. A278454 for base 2, A278694 for base 3, A278698 for base 5, and A033664 for base 10.

Also, cf. A278699 for base 4, where the final suffix cannot be 1 (it must be a prime, i.e., 2 or 3).

Sequence in context: A040988 A065722 A335331 * A197300 A028864 A342063

Adjacent sequences: A279953 A279954 A279955 * A279957 A279958 A279959

Keyword

nonn,base

Author

Randy L. Ekl, Dec 23 2016

Status

approved