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%I #14 Dec 09 2020 01:12:07
%S 2,7,167,199,6271,12227,168713,579907,5937157,6829751,8059943,
%T 66858173,167857663,661416709,2322857987,12012698381,14641587607,
%U 26304771553,49671709081,1244930533403,1922085626009
%N First primes of record chains of consecutive primes such that all of them are odious (A027697)
%C The corresponding record lengths are: 1,3,6,9,11,15, etc. (A177800).
%o (PARI) back(p,k)=while(k--,p=precprime(p-1));precprime(p-1)
%o 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
%Y Cf. A177748 (evil version), A000069, A001969, A027697, A027699, A177800.
%K nonn,base,more
%O 1,1
%A _Vladimir Shevelev_, Dec 12 2010
%E More terms from _D. S. McNeil_, Dec 12 2010
%E a(20)-a(21) from _Amiram Eldar_, Dec 09 2020
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