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A271676 Prime powers k such that 3k + 4 is a perfect square. 1
4, 7, 32, 64 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
This sequence is complete. For proof see the link. - Altug Alkan, Apr 15 2016
LINKS
EXAMPLE
4 is in this sequence because 3*4 + 4 = 16 = 4^2,
7 is in this sequence because 3*7 + 4 = 25 = 5^2,
32 is in this sequence because 3*32 + 4 = 100 = 10^2,
64 is in this sequence because 3*64 + 4 = 196 = 14^2.
MATHEMATICA
Select[Range[10^4], PrimePowerQ@ # && IntegerQ@ Sqrt[3 # + 4] &] (* Michael De Vlieger, Apr 12 2016 *)
PROG
(Magma) [n: n in [2..10000000] | IsPrimePower(n) and IsSquare(3*n + 4)];
(PARI) lista(nn) = for(n=1, nn, if(isprimepower(n) && issquare(3*n+4), print1(n, ", "))); \\ Altug Alkan, Apr 12 2016
CROSSREFS
Sequence in context: A283332 A000289 A241426 * A149089 A004031 A243863
KEYWORD
nonn,fini,full
AUTHOR
STATUS
approved

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Last modified March 19 01:22 EDT 2024. Contains 370952 sequences. (Running on oeis4.)