The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A073682 Prime sum of n-th group of successive primes in A073684. 6

%I #13 Oct 30 2018 10:31:02

%S 5,23,101,109,263,211,251,757,1367,941,2053,1901,911,2347,1861,1187,

%T 1249,1303,2273,1433,1493,1553,2777,2927,44843,26699,65713,4597,14159,

%U 8069,18439,5197,8819,9011,9277,9419,33599,53381,6761,6823,11497,7013

%N Prime sum of n-th group of successive primes in A073684.

%C Partition the sequence of primes into groups so that the sum of the terms in each group is prime: {2, 3}, {5, 7, 11}, {13, 17, 19, 23, 29}, {31, 37, 41}, {43, 47, 53, 59, 61}, {67, 71, 73}, {79, 83, 89}, {97, 101, 103, 107, 109, 113, 127}, {131, 137, 139, 149, 151, 157, 163, 167, 173}, {179, 181, 191, 193, 197}, ...; A073684(n) is the number of terms in n-th group; A073682(n) is the sum of terms in n-th group; A073683(n) is the first term in n-th group; A077279(n) is the last term in n-th group.

%H Zak Seidov, <a href="/A073682/b073682.txt">Table of n,a(n) for n = 1..3000</a>

%H Zak Seidov, <a href="/A073682/a073682.txt">Table of n, A073682(n), A073683(n), A073684(n), A077279(n) for n = 1..3000</a>

%e a(1)=5 because sum of first two primes 2+3 = 5 is prime;

%e a(2)=23 because sum of next three primes 5+7+11 = 23 is prime;

%e a(3)=101 because sum of next five primes 13+17+19+23+29 = 101 is prime.

%Y Cf. A073683, A073684, A077279.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Aug 11 2002

%E More terms from Gabriel Cunningham (gcasey(AT)mit.edu), Apr 10 2003

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 21 17:21 EDT 2024. Contains 372738 sequences. (Running on oeis4.)