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A233358
Numbers n such that n^2 concatenated with n + 1 is prime.
1
2, 6, 30, 32, 38, 48, 50, 72, 90, 92, 98, 102, 110, 126, 128, 150, 182, 188, 212, 218, 230, 242, 258, 300, 318, 348, 398, 420, 440, 450, 462, 498, 516, 518, 530, 542, 572, 582, 636, 660, 662, 678, 702, 716, 726, 728, 746, 786, 798, 830, 848, 872, 878, 890, 908
OFFSET
1,1
COMMENTS
All the terms in sequence are even numbers, but none are congruent to 4 mod 10.
LINKS
EXAMPLE
6 is in the sequence because the concatenation of 6^2 and 6 + 1 gives 367, which is prime.
30 is in the sequence because the concatenation of 30^2 and 31 gives 90031, which is prime.
34 is not in the sequence because the concatenation of 34^2 and 35 gives 115635 = 3 * 5 * 13 * 593.
MAPLE
KD := proc() local a, b; a:=parse(cat(n^2, n+1)); if isprime(a) then RETURN (n); fi; end: seq(KD(), n=1..2000);
CROSSREFS
Cf. A030465 (numbers n: concatenate n with n + 1 is prime).
Sequence in context: A361492 A128040 A219196 * A241557 A324887 A346106
KEYWORD
nonn,base,less
AUTHOR
K. D. Bajpai, Dec 07 2013
STATUS
approved