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A128075 Numbers n such that (3^n + 19^n)/22 is prime. 12
3, 61, 71, 109, 9497, 36007, 50461, 66919 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All terms are primes.

a(9) > 10^5. - Robert Price, Jul 21 2013

LINKS

Table of n, a(n) for n=1..8.

MATHEMATICA

k=19; Do[ p=Prime[n]; f=(3^p+k^p)/(k+3); If[ PrimeQ[f], Print[p]], {n, 1, 9592} ]

PROG

(PARI) is(n)=isprime((3^n+19^n)/22) \\ Charles R Greathouse IV, Feb 17 2017

CROSSREFS

Cf. A007658 = numbers n such that (3^n + 1)/4 is prime. Cf. A057469 = numbers n such that (3^n + 2^n)/5 is prime. Cf. A122853 = numbers n such that (3^n + 5^n)/8 is prime. Cf. A128066, A128067, A128068, A128069, A128070, A128071, A128072, A128073, A128074. Cf. A059801 = numbers n such that 4^n - 3^n is prime. Cf. A121877 = numbers n such that (5^n - 3^n)/2 is a prime. Cf. A128024, A128025, A128026, A128027, A128028, A128029, A128030, A128031, A128032.

Sequence in context: A093883 A203518 A297562 * A106883 A037209 A181505

Adjacent sequences:  A128072 A128073 A128074 * A128076 A128077 A128078

KEYWORD

hard,more,nonn

AUTHOR

Alexander Adamchuk, Feb 14 2007

EXTENSIONS

a(5)-a(8) from Robert Price, Jul 21 2013

STATUS

approved

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Last modified April 20 14:27 EDT 2019. Contains 322310 sequences. (Running on oeis4.)