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

1,1

Links

Table of n, a(n) for n=1..44.

G. L. Honaker, Jr. and C. K. Caldwell, Prime Curios! 83

Example

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

Crossrefs

Cf. A065867.

Sequence in context: A106900 A142621 A142681 * A142001 A211170 A065012

Adjacent sequences: A066363 A066364 A066365 * A066367 A066368 A066369

Keyword

nonn

Author

Henry Bottomley, Dec 21 2001

Status

approved