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A213739 Numbers n such that n and n^2 are sums of two successive primes. 2
12, 24, 42, 84, 90, 120, 204, 240, 372, 410, 456, 600, 630, 740, 762, 852, 882, 978, 1088, 1140, 1148, 1272, 1460, 1518, 1584, 1620, 1656, 1758, 1770, 1878, 1900, 1960, 2052, 2316, 2562, 2688, 2886, 2992, 3570, 3634, 3678, 3738, 3750, 3924, 4170, 4314, 4906 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

First terms not multiple of 6: 410, 740, 1088, 1148, 1460, 1900, 1960.

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Zak Seidov, Table of n,p,q,n^2,r,s

EXAMPLE

12=5+7, 144=71+73;

24=11+13, 576=283+293;

42=19+23, 1764=881+883.

MATHEMATICA

Reap[ Do[ If[ (p=NextPrime[n/2, -1]; p+NextPrime[p] == n) && (q=NextPrime[n^2/2, -1]; q+NextPrime[q] == n^2) , Sow[n]], {n, 2, 5000, 2}]][[2, 1]] (* Jean-Fran├žois Alcover, Jul 17 2012 *)

PROG

(PARI) p=2; forprime(q=3, 1e3, n=p+q; if(precprime(n^2/2)+nextprime((n^2+1)/2)==n^2, print1(n", ")); p=q) \\ Charles R Greathouse IV, Jun 21 2012

CROSSREFS

Intersection of A001043 and A074924.

Sequence in context: A051435 A187975 A190566 * A102067 A181924 A270257

Adjacent sequences:  A213736 A213737 A213738 * A213740 A213741 A213742

KEYWORD

nonn

AUTHOR

Zak Seidov, Jun 19 2012

STATUS

approved

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Last modified April 27 06:52 EDT 2017. Contains 285508 sequences.