

A082283


Primes that are the sum of a prime number of consecutive primes.


3



5, 23, 31, 41, 53, 59, 67, 71, 83, 97, 101, 109, 131, 139, 173, 181, 197, 199, 211, 223, 233, 251, 263, 269, 271, 281, 311, 331, 349, 353, 373, 401, 421, 431, 439, 443, 449, 457, 463, 487, 491, 499, 503, 523, 563, 587, 593, 607, 617, 631, 647, 659, 661, 677
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OFFSET

1,1


COMMENTS



LINKS



EXAMPLE

The initial terms are:
5 = 2 + 3,
23 = 5 + 7 + 11,


MATHEMATICA

Module[{nn=50}, Select[Union[Flatten[Table[Total/@Partition[Prime[ Range[ nn]], n, 1], {n, Prime[Range[PrimePi[nn]]]}]]], PrimeQ]] (* Harvey P. Dale, Nov 28 2021 *)


CROSSREFS



KEYWORD

easy,nonn


AUTHOR



EXTENSIONS

Data corrected and extended, and erroneous program deleted, by Harvey P. Dale, Nov 28 2021


STATUS

approved



