login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A100501 Numbers n such that 3*10^n+7 is prime. 3
1, 2, 5, 8, 24, 29, 84, 110, 129, 176, 593, 1137, 2675, 4992, 26904, 31572, 55077, 81021, 122274 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

593 and 1137 both give primes. - Joao da Silva (zxawyh66(AT)yahoo.com), Sep 30 2005

a(19) > 10^5. - Robert Price, Jan 26 2015

a(20) > 2*10^5. - Robert Price, Jul 04 2015

Some of the results were computed using the PrimeFormGW (PFGW) primality-testing program. - Hugo Pfoertner, Nov 14 2019

LINKS

Table of n, a(n) for n=1..19.

Makoto Kamada, Prime numbers of the form 300...007.

Sabin Tabirca and Kieran Reynolds, Lacunary Prime Numbers.

FORMULA

a(n) = A101824(n) + 1.

EXAMPLE

(3*10^5)+7 = (3*100000)+7 = 300000+7 = 300007, which is prime.

MATHEMATICA

Do[ If[ PrimeQ[ 3*10^n + 7], Print[ n ]], {n, 0, 20000}]

PROG

(PARI) is(n)=ispseudoprime(3*10^n+7) \\ Charles R Greathouse IV, May 22 2017

CROSSREFS

Cf. A096774, A101824.

Sequence in context: A092097 A195295 A088144 * A291605 A142869 A086825

Adjacent sequences:  A100498 A100499 A100500 * A100502 A100503 A100504

KEYWORD

nonn,more,hard

AUTHOR

Julien Peter Benney (jpbenney(AT)ftml.net), Nov 23 2004

EXTENSIONS

a(12) from Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 26 2004

a(13 & a(14) from Hugo Pfoertner, Nov 29 2004. The next term is > 20000.

a(15) from Kamada data by Robert Price, Dec 12 2010

a(16)-a(18) from Kamada data by Robert Price, Jan 26 2015

a(19) from Robert Price, Jul 04 2015

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 7 08:08 EDT 2020. Contains 336274 sequences. (Running on oeis4.)