

A135109


Integers n such that 10^n+37 is a prime number.


1



1, 2, 4, 6, 8, 13, 15, 39, 169, 184, 228, 255, 279, 632, 2230, 2238, 2606, 3286, 4604, 4958, 4964, 6016, 8726, 9813, 16201, 16878, 26989, 55372, 72631
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OFFSET

1,2


COMMENTS

Verified existing terms. The next term, if one exists, is >39456.  Robert Price, May 24 2010
See Kamada link  primecount.txt for terms, primesize.txt for discovery details including probable or proved primes  search on "10037".


LINKS

Table of n, a(n) for n=1..29.
Makoto Kamada, List of nearrepdigitrelated prime numbers.
Index entries for primes involving repunits.


EXAMPLE

6 is a member because 10^6+37 = 1000000+37 = 1000037, which is prime.


MATHEMATICA

Select[Range[2000], PrimeQ[10^# + 37] &] (* Vincenzo Librandi, Nov 02 2014 *)


PROG

(MAGMA) [n: n in [1..500] IsPrime(10^n+37)]; // Vincenzo Librandi, Nov 02 2014


CROSSREFS

Cf. A095688, A108052, A108050, A108312, A107083, A108049, A108054.
Sequence in context: A283769 A338352 A117117 * A281615 A213506 A240730
Adjacent sequences: A135106 A135107 A135108 * A135110 A135111 A135112


KEYWORD

more,nonn


AUTHOR

Julien Peter Benney (jpbenney(AT)gmail.com), Feb 12 2008


EXTENSIONS

Missing initial term 1 added by Vladimir Joseph Stephan Orlovsky, May 06 2008
16201, 16878 added by Robert Price, Mar 22 2010
Additional terms 2230, 2238, 2606, 3286, 4604, 4958, 4964, 6016, 8726, 9813, 26989 from Robert Price, May 24 2010
Edited by Ray Chandler, Dec 23 2010
a(28)=55372 from Robert Price, Jan 09 2011
a(29)=72631 from Robert Price, Jan 29 2011


STATUS

approved



