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A127341
Primes that can be written as the sum of 13 consecutive primes.
11
691, 863, 983, 1153, 1283, 1553, 1621, 1753, 1823, 2111, 2239, 2311, 2963, 3191, 3617, 3853, 4099, 4357, 4519, 4597, 4999, 5081, 5393, 5471, 5623, 5693, 5849, 6229, 6491, 6971, 7349, 7673, 8123, 8191, 8669, 8933, 9391, 10141, 10499, 10949, 11273
OFFSET
1,1
LINKS
EXAMPLE
691 = prime(10) + prime(11) + ... + prime(22) = 29 + 31 + ... + 79.
MATHEMATICA
Select[Table[Sum[Prime[i], {i, n, n + 12}], {n, 1, 150}], PrimeQ[ # ] &]
Select[Total/@Partition[Prime[Range[200]], 13, 1], PrimeQ] (* Harvey P. Dale, Aug 13 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Artur Jasinski, Jan 11 2007
EXTENSIONS
Edited by Stefan Steinerberger, Jul 31 2007
STATUS
approved