A177798 First primes of record chains of consecutive primes such that all of them are odious (A027697).

2, 7, 167, 199, 6271, 12227, 168713, 579907, 5937157, 6829751, 8059943, 66858173, 167857663, 661416709, 2322857987, 12012698381, 14641587607, 26304771553, 49671709081, 1244930533403, 1922085626009

Offset: 1

Author

Vladimir Shevelev, Dec 12 2010

Keywords

• nonn
• base
• more

Comments

The corresponding record lengths are: 1,3,6,9,11,15, etc. (A177800).

Crossrefs

Cf. A177748 (evil version), A000069, A001969, A027697, A027699, A177800.

Programs

PARI

back(p,k)=while(k--,p=precprime(p-1));precprime(p-1)
r=s=0;forprime(p=2,1e9,if(hammingweight(p)%2,s++,if(s>r,r=s;print1(back(p,r)", "));s=0)) \\ Charles R Greathouse IV, Mar 29 2013

Extensions

More terms from D. S. McNeil, Dec 12 2010

a(20)-a(21) from Amiram Eldar, Dec 09 2020