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A216004 Primes that are the sum of 2001 consecutive primes. 2
16344247, 16588633, 16711217, 17416457, 17700139, 17806721, 17860039, 17895613, 18091313, 18144727, 18483739, 18573209, 18698791, 19040773, 19384609, 19529849, 19620719, 19748129, 19784543, 19802759, 20421971, 20476777, 20531593, 20806141, 21283169, 21356563 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Corresponding initial terms of 2001-tuples: 7, 61, 97, 313, 419, 449, 463, 479, 563, 577, 691, 733, 773, 911, 1039, 1093, 1123, 1187, 1201, 1213, 1459, 1483, 1493, 1607. The indices of these primes: 4, 18, 25, 65, 81, 87, 90, 92, 103, 106, 125, 130, 137, 156, 175, 183, 188, 195, 197, 198, 232, 235, 238, 253. - Zak Seidov, Feb 27 2013

LINKS

Syed Iddi Hasan, Table of n, a(n) for n = 1..10000

EXAMPLE

a(1) = sum(prime(k), k = 4..2004),  a(2) = sum(prime(k), k = 18..2018),... - Zak Seidov, Feb 27 2013

MATHEMATICA

m = 2001; a = 2; b = Prime[m]; s = Sum[Prime[k], {k, m}]; Reap[Do[If[PrimeQ[s], Sow[s]]; b = NextPrime[b]; s = s - a + b; a = NextPrime[a], {m}]][[2, 1]] (* Zak Seidov, Feb 27 2013 *)

Select[Total/@Partition[Prime[Range[2500]], 2001, 1], PrimeQ] (* Harvey P. Dale, Mar 13 2018 *)

CROSSREFS

Cf. A070934, A082244, A215991.

Sequence in context: A234457 A204604 A253716 * A155949 A192203 A248204

Adjacent sequences:  A216001 A216002 A216003 * A216005 A216006 A216007

KEYWORD

nonn

AUTHOR

Syed Iddi Hasan, Aug 30 2012

STATUS

approved

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Last modified April 20 20:26 EDT 2021. Contains 343137 sequences. (Running on oeis4.)