OFFSET
1,1
COMMENTS
Conjecture: only 5254157 primes are not in the sequence: 2, 3, ..., 5082095279.
Conjecture: for any k>0 there exists p0 such that for any prime p>p0 there exists a k-term arithmetic progression of primes with p at the end.
EXAMPLE
1669 is in the sequence because with d=210: 1459, 1249, 1039, 829, 619, 409, 199 are all primes.
PROG
(PARI) is(n)=my(t); forprime(p=2, n-26, if((n-p)%7==0 && isprime((t=(n-p)/7)+p) && isprime(2*t+p) && isprime(3*t+p) && isprime(4*t+p) && isprime(5*t+p) && isprime(6*t+p) && isprime(n), return(1))); 0 \\ Charles R Greathouse IV, Sep 10 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
Alex Ratushnyak, Sep 09 2012
STATUS
approved