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A066366
Primes which are the sum of a prime number of consecutive primes in a prime number of different ways.
0
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
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
KEYWORD
nonn
AUTHOR
Henry Bottomley, Dec 21 2001
STATUS
approved