

A073682


Prime sum of nth group of successive primes in A073684.


6



5, 23, 101, 109, 263, 211, 251, 757, 1367, 941, 2053, 1901, 911, 2347, 1861, 1187, 1249, 1303, 2273, 1433, 1493, 1553, 2777, 2927, 44843, 26699, 65713, 4597, 14159, 8069, 18439, 5197, 8819, 9011, 9277, 9419, 33599, 53381, 6761, 6823, 11497, 7013
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OFFSET

1,1


COMMENTS

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 nth group; A073682(n) is the sum of terms in nth group; A073683(n) is the first term in nth group; A077279(n) is the last term in nth group.


LINKS

Zak Seidov, Table of n,a(n) for n = 1..3000
Zak Seidov, Table of n, A073682(n), A073683(n), A073684(n), A077279(n) for n = 1..3000


EXAMPLE

a(1)=5 because sum of first two primes 2+3 = 5 is prime;
a(2)=23 because sum of next three primes 5+7+11 = 23 is prime;
a(3)=101 because sum of next five primes 13+17+19+23+29 = 101 is prime.


CROSSREFS

Cf. A073683, A073684, A077279.
Sequence in context: A196489 A049674 A077277 * A034958 A229008 A274322
Adjacent sequences: A073679 A073680 A073681 * A073683 A073684 A073685


KEYWORD

nonn


AUTHOR

Amarnath Murthy, Aug 11 2002


EXTENSIONS

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


STATUS

approved



