

A088274


Numbers n such that 10^n + 7 is prime.


22



1, 2, 4, 8, 9, 24, 60, 110, 134, 222, 412, 700, 999, 1383, 5076, 5543, 6344, 14600, 15093, 21717, 23636, 30221, 50711
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OFFSET

1,2


COMMENTS

No others less than 59500.
No other terms <= 100,000.  Robert Price, Mar 03 2011
a(24) > 2*10^5.  Robert Price, Nov 09 2015


LINKS

Table of n, a(n) for n=1..23.
G. L. Honaker, Jr. and Chris Caldwell, eds., Prime Curios!
Makoto Kamada, Prime numbers of the form 100...007.
Sabin Tabirca and Kieran Reynolds, Lacunary Prime Numbers.


FORMULA

a(n) = A102007(n) + 1.


EXAMPLE

8 is a member since 10^8 + 7 = 100000007 is a prime.


MATHEMATICA

Do[ If[ PrimeQ[ 10^n + 7], Print[n]], {n, 0, 10000}] (* Robert G. Wilson v, Dec 16 2004 *)


PROG

(PARI) is(n)=isprime(10^n + 7) \\ Charles R Greathouse IV, Apr 29 2015


CROSSREFS

Cf. A088275, A049054, A102007, A159031.
Sequence in context: A046685 A248741 A140141 * A118418 A074810 A028984
Adjacent sequences: A088271 A088272 A088273 * A088275 A088276 A088277


KEYWORD

nonn


AUTHOR

Amarnath Murthy, Sep 28 2003


EXTENSIONS

a(7)a(14) from Ray Chandler, Oct 09 2003
a(15)a(19) from Robert G. Wilson v, Jan 18 2005
Corrected and extended by Jason Earls, Nov 27 2007 and Dec 07 2007. (14600 was missing and 23636 and 50711 are new. These are presently only probable primes, found with WinPFGW.)
Missing term 30221 added by Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008


STATUS

approved



