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A252017
Primes of the form (p + q)^3 + 3, where p and q are consecutive primes.
2
140611, 1000003, 68921003, 81746507, 105154051, 360944131, 709732291, 1643032003, 8072216219, 8390176771, 10021812419, 10823192131, 11239424003, 14526784003, 15363967259, 17014253251, 23689358851, 24693014531, 26784575491, 27270901003, 27928443307, 36594368003
OFFSET
1,1
LINKS
EXAMPLE
140611 is in the sequence because (23 + 29)^3 + 3 = 140611 which is prime: 23 and 29 are consecutive primes.
81746507 is in the sequence because (211 + 223)^3 + 3 = 81746507 which is prime: 211 and 223 are consecutive primes.
MATHEMATICA
Select[Table[(Prime[n] + Prime[n + 1])^3 + 3, {n, 500}], PrimeQ[#] &]
PROG
(PARI) s=[]; for(k=1, 500, t=(prime(k) + prime(k+1))^3 + 3; if(isprime(t), s=concat(s, t))); s
CROSSREFS
KEYWORD
nonn
AUTHOR
K. D. Bajpai, Dec 13 2014
STATUS
approved