A238713 Least member of decadal prime triples: First prime beyond 10*A008470(n).

11, 41, 71, 101, 131, 191, 223, 311, 431, 461, 613, 641, 821, 853, 881, 1031, 1061, 1091, 1301, 1423, 1451, 1481, 1601, 1663, 1693, 1783, 1871, 1993, 2081, 2381, 2683, 2711, 3163, 3251, 3461, 3671, 3761, 3911, 4001, 4091, 4153, 4211, 4513, 4721, 4783, 4931

Offset: 1

Author

M. F. Hasler, Mar 03 2014

Keywords

• nonn

Links

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

Crossrefs

Cf. A008470, A008471, A238715.

Programs

PARI

for(d=1,999,primepi(10*(d+1))-primepi(10*d) >2|next; print1(nextprime(d*10+1)","))

PARI

is(n)=my(t=n%10); if(t==1, isprime(n) && if(isprime(n+2), isprime(n+6) || isprime(n+8), isprime(n+6) && isprime(n+8)), t==3 && isprime(n) && !isprime(n-2) && isprime(n+4) && isprime(n+6)) \\ Charles R Greathouse IV, Mar 04 2014

Formula

a(n) = nextprime(10*A008470(n)).