login
A212883
Numbers n such that n^4 - prime(n) is prime.
5
2, 6, 40, 76, 144, 146, 148, 166, 168, 174, 186, 192, 210, 220, 222, 230, 238, 240, 258, 290, 338, 364, 372, 378, 384, 398, 400, 402, 442, 446, 482, 492, 532, 536, 554, 570, 606, 628, 654, 700, 740, 882, 888, 944, 954, 964, 966, 978, 1038, 1040, 1072, 1080
OFFSET
1,1
COMMENTS
See A064712 for the sequence of values of n such that n^2-prime(n) is prime. - John W. Layman, May 29 2012
All terms are even. - M. F. Hasler, Jun 02 2012
LINKS
MAPLE
A[1]:= 2: p:= 3: count:= 1:
for n from 4 to 10^4 by 2 do
p:= nextprime(nextprime(p));
if isprime(n^4-p) then
count:= count+1;
A[count]:= n;
fi
od:
seq(A[i], i=1..count); # Robert Israel, Jun 20 2017
MATHEMATICA
Reap[Do[If[PrimeQ[n^4-Prime[n]], Sow[n]], {n, 2, 1200, 2}]][[2, 1]]
PROG
(Magma) [n: n in [1..1200]|IsPrime(n^4-NthPrime(n))];
(PARI) for(n=1, 999, isprime(n^4-prime(n))&print1(n", ")) \\ M. F. Hasler, Jun 02 2012
CROSSREFS
Sequence in context: A068207 A331702 A288491 * A336959 A027161 A081096
KEYWORD
nonn
AUTHOR
Zak Seidov, May 29 2012
STATUS
approved