A090721 Primes whose representation in base 1024 can be interpreted as a decimal prime.

2, 3, 5, 7, 1031, 1033, 3079, 4099, 6151, 7177, 1048583, 1049603, 1050631, 1051649, 1053697, 1054723, 2099203, 2100227, 2101249, 2102273, 2102279, 2105347, 3148801, 3148807, 3149831, 3150857, 3151879, 3153923, 3153929, 4198409, 4200451, 5242883

Offset: 1

Author

Cino Hilliard, Jan 18 2004

Keywords

• base
• nonn

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A089971, A089981, A090707 - A090720, A065720 - A065727.

Programs

PARI

is(n)=if(!isprime(n),return(0));my(s,t,b=1);while(n,t=n%1024;if(t>9,return(0));s+=t*b;b*=10;n>>=10);s \\ Charles R Greathouse IV, Feb 07 2013

PARI

v=List();forprime(p=2,1e3,d=digits(p);t=sum(i=1,#d,d[i]<<(10*(#d-i)));if(ispseudoprime(t),listput(v,t)));Vec(v) \\ Charles R Greathouse IV, Feb 07 2013

Extensions

Better definition and offset by Omar E. Pol, Dec 24 2008

a(16) and a(26) corrected by Charles R Greathouse IV, Feb 07 2013