Search: id:A080187
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%I A080187
%S A080187 19,97,197,461,659,1319,1451,2111,2309,2969,3167,3299,4157,5279,7127,
%T A080187 9239,10889,11549,15971,16631,22637,25409,26729,29567,30491,34649,34847,
%U A080187 55439,55901,64151,87119,92399,98009,110879,118799,152459,164999,176417
%N A080187 Primes p such that 11 is the largest of all prime factors of the numbers 
               between p and the next prime (cf. A052248).
%C A080187 The sequence appears to consist of 19, 97 and the lesser of twin primes 
               q (A001359) such that q+1 is 11-smooth (A051038) but not 7-smooth 
               (A002473, A080195).
%e A080187 97 is a term since 98 = 2*7^2, 99 = 3^2*11, 100 = 2^2*5^2 are the numbers 
               between 97 and the next prime 101; 461 is a term since 462 = 2*3*7*11 
               is the only number between 461 and the next prime 463.
%o A080187 (PARI) {forprime(p=2,180000,q=nextprime(p+1); m=0; j=p+1; while(j<q&&m<=11,
               f=factor(j); a=f[matsize(f)[1],1]; if(m<a,m=a); j++); if(m==11,print1(p,
               ",")))}
%Y A080187 Cf. A052248, A001359, A051038, A002473, A080195.
%Y A080187 Sequence in context: A037238 A109513 A041696 this_sequence A142170 A069593 
               A086120
%Y A080187 Adjacent sequences: A080184 A080185 A080186 this_sequence A080188 A080189 
               A080190
%K A080187 nonn
%O A080187 1,1
%A A080187 Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Feb 10 2003

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