|
| |
|
|
A110980
|
|
Integers n such that 10^n+99 is prime.
|
|
3
| |
|
|
1, 2, 4, 6, 13, 14, 16, 17, 19, 30, 31, 60, 68, 73, 113, 144, 276, 288, 364, 449, 473, 739, 833, 1171, 1732, 2292, 3912, 7673, 9458, 16982, 19751, 21479, 23837, 77726
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| The next term, if one exists, is >100000. [From Robert Price (pamandbobprice(AT)yahoo.com), Apr 25 2011]
See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable/proven prime - search on "10w99".
|
|
|
LINKS
| Makoto Kamada, List of near-repdigit-related prime numbers.
Index entries for primes involving repunits.
|
|
|
EXAMPLE
| If n=6, we have 10^6+99 = 1000000+99 = 1000099, which is prime.
|
|
|
MATHEMATICA
| q=99; s=""; For[a=q, a<=q, s="10^n+"<>ToString[a]<>":"; n=0; For[i=1, i< 10^3, If[PrimeQ[10^i+a], n=1; s=s<>ToString[i]<>", "]; i++ ]; If[n>0, Print[s]]; a++ ] - Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 29 2008
|
|
|
CROSSREFS
| Cf. A049054, A088274, A088275, A095688, A107083, A108049, A108050, A108052, A108054.
Sequence in context: A081457 A127105 A196444 * A058598 A087549 A109078
Adjacent sequences: A110977 A110978 A110979 * A110981 A110982 A110983
|
|
|
KEYWORD
| more,nonn
|
|
|
AUTHOR
| Julien Peter Benney (jpbenney(AT)ftml.net), Sep 30 2005
|
|
|
EXTENSIONS
| 1 added by Vladimir Orlovsky, May 02 2008
a(29)-a(33) from Robert Price (pamandbobprice(AT)yahoo.com), Mar 22 2010
a(34)=77726 from Robert Price (pamandbobprice(AT)yahoo.com), Mar 03 2011
|
| |
|
|
