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A215991
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Primes that are the sum of 25 consecutive primes.
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33
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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
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OFFSET
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1,1
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COMMENTS
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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.
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LINKS
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Syed Iddi Hasan, Table of n, a(n) for n = 1..10000
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MAPLE
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select(isprime, [seq(add(ithprime(i+k), i=1..25), k=0..250)]); # Muniru A Asiru, Feb 11 2018
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MATHEMATICA
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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 *)
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PROG
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(PARI)
psumprm(m, n)={my(list=List(), s=sum(j=1, m, prime(j)), i=1); while(#list<n, s = s-prime(i)+prime(i+m); i++; if(isprime(s), listput(list, s))); Vec(list)}
psumprm(25, 40) \\ Andrew Howroyd, Feb 11 2018
(GAP) P:=Filtered([1..10^4], IsPrime);;
Filtered(List([0..250], k->Sum([1..25], i->P[i+k])), IsPrime); # Muniru A Asiru, Feb 11 2018
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CROSSREFS
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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
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KEYWORD
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nonn
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AUTHOR
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Syed Iddi Hasan, Aug 30 2012
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STATUS
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approved
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