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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

K. D. Bajpai, Table of n, a(n) for n = 1..12289

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

Cf. A000040, A007645, A003136, A243761.

Sequence in context: A186613 A036527 A250570 * A203833 A032747 A212373

Adjacent sequences:  A252014 A252015 A252016 * A252018 A252019 A252020

KEYWORD

nonn

AUTHOR

K. D. Bajpai, Dec 13 2014

STATUS

approved

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Last modified January 28 23:12 EST 2022. Contains 350670 sequences. (Running on oeis4.)