A066366 Primes which are the sum of a prime number of consecutive primes in a prime number of different ways.
83, 199, 223, 251, 857, 863, 883, 941, 983, 991, 1061, 1151, 1187, 1283, 1367, 1381, 1433, 1439, 1523, 1553, 1607, 1753, 1901, 2011, 2179, 2357, 2393, 2647, 2689, 2731, 2777, 2837, 2927, 2963, 3037, 3121, 3181, 3617, 3821, 3853, 3911, 3967, 4217, 4337
Offset: 1
Keywords
Examples
199 is on the list because it can be written in two (prime) ways as the sum of either three (prime) or five (prime) consecutive primes: 61+67+71 = 31+37+41+43+47. 311 is not on the list because it can be written as the sum of three, five, seven, or eleven consecutive primes: four (not prime) ways. - _Hans Havermann_, Mar 24 2018
Links
- G. L. Honaker, Jr. and C. K. Caldwell, Prime Curios! 83
Crossrefs
Cf. A065867.