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A233906 Primes of the form (3^k mod k^3) + 1, in order of increasing k. 1
2, 1499, 1783, 9719, 9311, 67883, 134947, 203317, 189433, 560171, 438533, 943849, 640973, 578827, 2172383, 28687, 1505657, 7595033, 2822971, 1242379, 22899523, 9232219, 5730031, 12336083, 3487607, 35451433, 12174803, 10234079, 84459019, 68736683, 44671169, 85507057 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

K. D. Bajpai, Table of n, a(n) for n = 1..1000

EXAMPLE

1499 is in the sequence because (3^13 mod 13^3) + 1 = 1499 which is prime.

9719 is in the sequence because (3^29 mod 29^3) + 1 = 9719 which is prime.

MAPLE

KD := proc() local a; a:=3^n mod n^3 + 1; if isprime(a) then RETURN (a); fi; end: seq(KD(), n=1..1000);

CROSSREFS

Cf. A000040 (prime numbers).

Cf. A007519 (primes congruent to 1 mod 8).

Sequence in context: A023291 A319329 A058423 * A329775 A226699 A110027

Adjacent sequences:  A233903 A233904 A233905 * A233907 A233908 A233909

KEYWORD

nonn

AUTHOR

K. D. Bajpai, Dec 17 2013

STATUS

approved

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Last modified April 12 00:22 EDT 2021. Contains 342911 sequences. (Running on oeis4.)