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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-François 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 October 20 20:24 EDT 2019. Contains 328273 sequences. (Running on oeis4.)