A173829 Primes which are not the sum of powers of the first two primes.

23, 37, 47, 53, 61, 71, 79, 101, 103, 107, 109, 127, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 263, 269, 271, 277, 281, 293, 311, 313, 317, 331, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401

Offset

1,1

Comments

53 is not the sum of any power of 2 (from 0 to 5) and any power of 3 (from 0 to 3).

References

Prime Curios!, The Dictionary of Prime Number Trivia, Chris K. Caldwell & G. L. Honaker, Jr., page 47-48, 2009.

Links

Table of n, a(n) for n=1..53.

G. L. Honaker Jr. and C. Caldwell, Prime Curios!: 53.

Mathematica

Complement[ Prime@ Range@ 100, Select[ Union[ Flatten[ Table[ 2^i + 3^j, {i, 0, 10}, {j, 0, 6}]]], PrimeQ@# &]]

Crossrefs

Sequence in context: A291689 A059798 A290767 * A110673 A134797 A209617

Adjacent sequences: A173826 A173827 A173828 * A173830 A173831 A173832

Keyword

nonn

Author

Robert G. Wilson v, Feb 25 2010

Status

approved