A034963 Sums of four consecutive primes.

17, 26, 36, 48, 60, 72, 88, 102, 120, 138, 152, 168, 184, 202, 220, 240, 258, 272, 290, 306, 324, 348, 370, 390, 408, 420, 432, 456, 480, 508, 534, 556, 576, 596, 620, 638, 660, 682, 700, 724, 744, 762, 780, 800, 830, 860, 890, 912, 928, 942, 964, 988, 1012

Offset: 1

Author

Patrick De Geest, Oct 15 1998

Keywords

• nonn
• easy

Examples

			a(7) = 17 + 19 + 23 + 29 = 88.
		

Links

• Zak Seidov, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A001043, A011974, A034707.

Programs

Magma

[&+[ NthPrime(n+k): k in [0..3] ]: n in [1..90] ]; /* Vincenzo Librandi, Apr 03 2011 */

Maple

A034963 := proc(n)
    add(ithprime(i), i=n..n+3) ;
end proc: # R. J. Mathar, Jun 06 2013

Mathematica

Plus@@@Partition[Prime[Range[6! ]],4,1] (* Vladimir Joseph Stephan Orlovsky, Feb 18 2010 *)

PARI

a(n)=my(p=prime(n));p+sum(i=1,3,p=nextprime(p+1)) \\ Charles R Greathouse IV, Jul 01 2013

Formula

a(n) = Sum_{k=0..3} A000040(n+k). - Omar E. Pol, Mar 02 2020