The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A271549 Primes p such that p+10^2, p+10^3, p+10^5, p+10^7, p+10^11, p+10^13 and p+10^17 are all prime. 0
1399, 2157763, 13034041, 38208649, 38502313, 41518651, 42745111, 48154147, 49435063, 53872447, 58981513, 75194563, 83037247, 86139409, 101533963, 106287019, 140778403, 144593431, 155554237, 166083133, 166650193, 189371671, 199865893, 201738379, 224472877, 240133753, 271331773 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The exponents of 10 are all prime (2,3,5,7,11,13,17).
LINKS
EXAMPLE
p = 1399:
p+10^2 = 1499 (is prime).
p+10^3 = 2399 (is prime).
p+10^5 = 101399 (is prime).
p+10^7 = 10001399 (is prime).
p+10^11 = 100000001399 (is prime).
p+10^13 = 10000000001399 (is prime).
p+10^17 = 100000000000001399 (is prime).
MATHEMATICA
Select[Prime[Range[10^9]], PrimeQ[# + 10^2] && PrimeQ[# + 10^3] && PrimeQ[# + 10^5] && PrimeQ[# + 10^7] && PrimeQ[# + 10^11] && PrimeQ[# + 10^13] && PrimeQ[# + 10^17] &] (* Robert Price, Apr 10 2016 *)
PROG
(PARI) lista(nn) = forprime(p=2, nn, if (isprime(p+10^2) && isprime(p+10^3) && isprime(p+10^5) && isprime(p+10^7) && isprime(p+10^11) && isprime(p+10^13) && isprime(p+10^17), print1(p, ", "))); \\ Altug Alkan, Apr 10 2016
CROSSREFS
Sequence in context: A015990 A065214 A336738 * A203918 A178271 A271579
KEYWORD
nonn
AUTHOR
Emre APARI, Apr 10 2016
EXTENSIONS
More terms from Altug Alkan, Apr 10 2016
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 24 11:42 EDT 2024. Contains 372773 sequences. (Running on oeis4.)