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 A034964 Sums of five consecutive primes. 24
 28, 39, 53, 67, 83, 101, 119, 139, 161, 181, 199, 221, 243, 263, 287, 311, 331, 351, 373, 395, 421, 449, 473, 497, 517, 533, 559, 587, 617, 647, 683, 707, 733, 759, 787, 811, 839, 863, 891, 917, 941, 961, 991, 1023, 1057, 1089, 1123, 1151, 1169, 1193 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Except for the first term, all terms are odd. - Alonso del Arte, Dec 30 2011 REFERENCES Owen O'Shea and Underwood Dudley, The Magic Numbers of the Professor, Mathematical Association of America (2007), p. 62 LINKS David A. Corneth, Table of n, a(n) for n = 1..10000 FORMULA a(n) = Sum_{i=n..n+4} prime(i). - Wesley Ivan Hurt, Sep 14 2014 EXAMPLE a(1) = prime(1+0) + prime(1+1) + prime(1+2) + prime(1+3) + prime(1+4) = 2 + 3 + 5 + 7 + 11 = 28. a(2) = prime(2+0) + prime(2+1) + prime(2+2) + prime(2+3) + prime(2+4) = 3 + 5 + 7 + 11 + 13 = 39. MAPLE A034964:=n->add(ithprime(i), i=n..n+4): seq(A034964(n), n=1..50); # Wesley Ivan Hurt, Sep 14 2014 MATHEMATICA Plus@@@Partition[Prime[Range[100]], 5, 1] (* Vladimir Joseph Stephan Orlovsky, Feb 18 2010 *) PROG (Sage) BB = primes_first_n(60) L = [] for i in range(55):     L.append(BB[i]+BB[i+1]+BB[i+2]+BB[i+3]+BB[i+4]) L # Zerinvary Lajos, May 14 2007 (MAGMA) [&+[ NthPrime(n+k): k in [0..4] ]: n in [1..100] ]; // Vincenzo Librandi, Apr 03 2011 (PARI) a(n) = sum(k=n, n+4, prime(k)); \\ Michel Marcus, Sep 03 2016 (PARI) first(n) = {my(psum = 28, pr = List([2, 3, 5, 7, 11]), res = List([28])); for(i=2, n, psum -= pr[1]; listpop(pr, 1); listput(pr, nextprime(pr[4] + 1)); psum += pr[5]; listput(res, psum)); res} \\ David A. Corneth, Oct 14 2017 CROSSREFS Cf. A000040, A001043, A011974, A034707. Cf. A131686 (sums of five consecutive squares of primes). Sequence in context: A096430 A204822 A179166 * A195897 A109798 A216594 Adjacent sequences:  A034961 A034962 A034963 * A034965 A034966 A034967 KEYWORD nonn,easy AUTHOR Patrick De Geest, Oct 15 1998 EXTENSIONS Offset changed to 1 by Joerg Arndt, Sep 04 2016 STATUS approved

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Last modified October 22 07:38 EDT 2020. Contains 337950 sequences. (Running on oeis4.)