

A339866


Primes that are simultaneously the sums of 11, 13, and 15 consecutive primes.


0



8472193, 14084311, 16569827, 28358851, 33546551, 45993127, 91174081, 123593753, 186861293, 205286087, 224010023, 227568853, 310359607, 335497667, 423104119, 454320901, 482749429, 492404317, 558048187, 560997023, 566428813, 700508971, 707060359, 715731761, 735276379
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OFFSET

1,1


COMMENTS

The first case with 17 consecutive primes is a(219) = 8410721789. Are there more such terms?
a(10) = 205286087 is the sum of k consecutive primes not only for k = 11, 13, and 15, but also for k=1 (i.e., a(10) is a prime), k=9, and k=233.  Jon E. Schoenfield, Apr 24 2021


LINKS



EXAMPLE

Sum_{k=61746..61756} prime(k) = Sum_{k=52937..52949} prime(k) = Sum_{k=46425..46439} prime(k) = 8472193, so 8472193 is a term.  Jon E. Schoenfield, Apr 24 2021


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



