A060939 -id:A060939 - cp's OEIS frontend

A062736 Primes of form Sum_{k=1..n} (prime(k)+1).

3, 7, 13, 47, 109, 139, 251, 397, 457, 587, 659, 733, 1187, 1291, 1399, 2161, 2311, 2621, 2953, 3307, 4073, 4273, 4937, 5167, 5641, 7477, 7759, 10259, 10607, 10957, 11311, 12413, 13177, 13567, 15619, 20639, 23167, 24781, 25339, 25903, 28211

Offset: 1

Jason Earls, Jul 12 2001

nonn

Primes of the form A007504(k) + k. - J. M. Bergot, Apr 10 2018

			a(4) = 47 because 3+4+6+8+12+14 = 47.

Seiichi Manyama, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Harry J. Smith)

Cf. A000040, A007504, A060939.

Select[Accumulate[Prime[Range[150]]+1],PrimeQ] (* Harvey P. Dale, May 26 2016 *)

je=[]; for(n=1,350,x=sum(k=1,n, prime(k)+1); if(isprime(x),je=concat(je,x))); je

{ n=a=0; for (k=1, 10^5, if (isprime(a+=prime(k) + 1), write("b062736.txt", n++, " ", a); if (n==1000, break)) ) } \\ Harry J. Smith, Aug 10 2009

{ A000040 } intersection { A060939 }.

A110895 a(n) = a(n-1) + 1 + prime(n), with a(1) = 1.

Original entry on oeis.org

1, 4, 8, 14, 22, 34, 48, 66, 86, 110, 140, 172, 210, 252, 296, 344, 398, 458, 520, 588, 660, 734, 814, 898, 988, 1086, 1188, 1292, 1400, 1510, 1624, 1752, 1884, 2022, 2162, 2312, 2464, 2622, 2786, 2954, 3128, 3308, 3490, 3682, 3876, 4074, 4274, 4486, 4710

Offset: 1

G. L. Honaker, Jr., Sep 20 2005

The number of integers between a(n) and a(n+1) exclusive equals the n-th prime.

Cf. A060939.

RecurrenceTable[{a[n]==a[n-1]+Prime[n]+1,a[0]==1},a,{n,50}]  (* Harvey P. Dale, Apr 22 2011 *)

a(n) = A060939(n-1) + 1. - Alan Michael Gómez Calderón, Dec 16 2024

More terms from Harvey P. Dale, Apr 22 2011

cp's OEIS Frontend

A062736 Primes of form Sum_{k=1..n} (prime(k)+1).

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