login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A128024 Numbers n such that (7^n - 3^n)/4 is prime. 20
3, 7, 19, 109, 131, 607, 863, 2917, 5923, 12421 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

All terms are primes. No other terms < 100,000.

MATHEMATICA

k=4; Select[ Prime[ Range[1, 200] ], PrimeQ[ ((k+3)^# - 3^#)/k ]& ]

PROG

(PARI) forprime(p=3, 1e5, if(ispseudoprime((7^p-3^p)/4), print1(p", "))) \\ Charles R Greathouse IV, Jun 01 2011

CROSSREFS

Cf. A028491 = numbers n such that (3^n - 1)/2 is prime. Cf. A057468 = numbers n such that 3^n - 2^n is prime. 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. A128025, A128026, A128027, A128028, A128029, A128030, A128031, A128032.

Sequence in context: A163571 A146037 A172514 * A075487 A118128 A113875

Adjacent sequences:  A128021 A128022 A128023 * A128025 A128026 A128027

KEYWORD

hard,more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 11 2007

EXTENSIONS

a(8)-a(9) from Farideh Firoozbakht (mymontain(AT)yahoo.com), Apr 08 2007

a(10) from Robert Price (pamandbobprice(AT)yahoo.com), Jun 01 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 17 21:13 EST 2012. Contains 206085 sequences.