A216004 Primes that are the sum of 2001 consecutive primes.

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

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 A355095 A192203

Adjacent sequences: A216001 A216002 A216003 * A216005 A216006 A216007

Keyword

nonn

Author

Syed Iddi Hasan, Aug 30 2012

Status

approved