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

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A128026 Numbers n such that (10^n - 3^n)/7 is prime. 20
2, 3, 5, 37, 599, 38393, 51431 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

All terms are primes.

No other terms <100,000.

MATHEMATICA

k=7; Select[ Prime[ Range[1, 200] ], PrimeQ[ ((k+3)^# - 3^#)/k ]& ]

PROG

(PARI) forprime(p=2, 1e4, if(ispseudoprime((10^p-3^p)/7), print1(p", "))) \\ Charles R Greathouse IV, Jun 05, 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. A128024, A128025, A128027, A128028, A128029, A128030, A128031, A128032.

Sequence in context: A041977 A089213 A029499 * A041443 A057775 A088483

Adjacent sequences:  A128023 A128024 A128025 * A128027 A128028 A128029

KEYWORD

hard,nonn

AUTHOR

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

EXTENSIONS

a(6)-a(7) from Robert Price (pamandbobprice(AT)yahoo.com), Jun 04 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 16 04:18 EST 2012. Contains 205860 sequences.