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A084487
Prime(n)+q, where q is the next prime such that q mod 4 = prime(n) mod 4.
2
10, 18, 18, 30, 30, 46, 42, 54, 66, 74, 78, 94, 90, 106, 114, 126, 134, 138, 150, 162, 162, 186, 186, 198, 210, 210, 234, 222, 250, 258, 270, 286, 290, 306, 314, 330, 330, 346, 354, 370, 374, 390, 390, 426, 410, 434, 450, 466, 462, 474, 490, 498, 514, 526, 534
OFFSET
2,1
LINKS
EXAMPLE
Prime(5) = 11, 11 mod 4 = 3, 13 mod 4 = 1, 17 mod 4 = 1, 19 mod 4 = 3, hence a(5) = 11+19 = 30.
MATHEMATICA
nq4[n_]:=Module[{q=NextPrime[n], m=Mod[n, 4]}, While[Mod[q, 4]!=m, q= NextPrime[ q]]; n+q]; Table[nq4[n], {n, Prime[Range[2, 60]]}] (* Harvey P. Dale, Aug 18 2019 *)
PROG
(PARI) {forprime(p=3, 270, m=p%4; q=nextprime(p+1); while(q%4!=m, q=nextprime(q+1)); print1(p+q, ", "))}
CROSSREFS
Cf. A084488.
Sequence in context: A156382 A214894 A368477 * A055567 A373994 A087119
KEYWORD
nonn
AUTHOR
Jon Perry, May 28 2003
EXTENSIONS
Edited and extended by Klaus Brockhaus, May 28 2003
STATUS
approved