A071845 Primes p such that the number of ones in the binary representation of p^p is prime.

7, 17, 19, 23, 31, 37, 53, 59, 61, 73, 97, 197, 227, 337, 373, 439, 449, 547, 563, 577, 587, 593, 673, 751, 787, 1019, 1021, 1031, 1123, 1151, 1171, 1187, 1201, 1223, 1229, 1249, 1301, 1321, 1399, 1583, 1621, 1721, 1867, 1879, 2039, 2053, 2069, 2141, 2411

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

7 is a term because 7^7 = 823543 = 11001001000011110111 has 11 ones.

Mathematica

Select[Prime[Range[400]], PrimeQ[DigitCount[#^#, 2, 1]]&] (* Harvey P. Dale, Apr 14 2022 *)

Crossrefs

Sequence in context: A167797 A001913 A270387 * A084704 A198032 A175901

Adjacent sequences: A071842 A071843 A071844 * A071846 A071847 A071848

Keyword

base,nonn

Author

Jason Earls, Jun 08 2002

Status

approved