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 A215991 Primes that are the sum of 25 consecutive primes. 33
 1259, 1361, 2027, 2267, 2633, 3137, 3389, 4057, 5153, 6257, 6553, 7013, 7451, 7901, 9907, 10499, 10799, 10949, 11579, 12401, 14369, 15013, 15329, 17377, 17903, 18251, 18427, 19309, 22441, 24023, 25057, 25229, 26041, 26699, 28111, 29017, 29207, 30707, 32939, 35051, 36583 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Such sequences already existed for all odd numbers <= 15. I chose the particular points (in A215991-A216020) so that by referring to a particular n-th term of one of these sequences, the expected range of the n-th term of an x-prime sum can be calculated for any odd x<100000. LINKS Syed Iddi Hasan, Table of n, a(n) for n = 1..10000 MAPLE select(isprime, [seq(add(ithprime(i+k), i=1..25), k=0..250)]); # Muniru A Asiru, Feb 11 2018 MATHEMATICA Select[ListConvolve[Table[1, 25], Prime[Range[500]]], PrimeQ] (* Jean-François Alcover, Jul 01 2018, after Harvey P. Dale *) Select[Total/@Partition[Prime[Range[300]], 25, 1], PrimeQ] (* Harvey P. Dale, Mar 04 2023 *) PROG (PARI) psumprm(m, n)={my(list=List(), s=sum(j=1, m, prime(j)), i=1); while(#listSum([1..25], i->P[i+k])), IsPrime); # Muniru A Asiru, Feb 11 2018 CROSSREFS Cf. A034962, A034965, A082246, A082251, A127340, A127341, A161612, A215992, A215993, A215994, A215995, A215996, A215997, A215998, A215999, A216000, A216001, A216002, A216003, A216004, A216005, A216006, A216007, A216008, A216009, A216010, A216011, A216012, A216013, A216014, A216015, A216016, A216017, A216018, A216019, A216020. Sequence in context: A048130 A256652 A211773 * A288921 A099592 A240922 Adjacent sequences: A215988 A215989 A215990 * A215992 A215993 A215994 KEYWORD nonn AUTHOR Syed Iddi Hasan, Aug 30 2012 STATUS approved

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Last modified March 23 19:52 EDT 2023. Contains 361452 sequences. (Running on oeis4.)