Search: id:A086255
Results 1-1 of 1 results found.

%I A086255
%S A086255 5,7,11,103319,21446799,22183761599
%N A086255 a(n) is the first prime which when divided by each of the first through 
               n-th primes yields a prime plus a fraction. a(6) = first prime for 
               which floor(a(6)/j) yields a prime for the following values of j: 
               2, 3, 5, 7, 11 and 13 (the first 6 primes).
%C A086255 a(n) represents the FIRST prime which meets the requirements described 
               above. All later a(n+m) also meet the requirements of a(n). For a 
               given n there may be many later primes which also satisfy the same 
               requirements of a(n).
%e A086255 a(5) = 21436799 because 21436799 is the FIRST prime for which floor(21436799/
               j) is prime when j has any of the values 2,3,5,7, or 11 (the first 
               5 primes). So 21436799 is allowed because floor(21436799/2) = 10718399, 
               floor(21436799/3) = 7145599, floor(21436799/5) = 4287359, floor(21436799/
               7) = 3062399 and floor(21436799/11) = 1948799 and all of these values 
               (10718399, 7145599, 4287359, 3062399 and 1948799) are primes.
%Y A086255 Sequence in context: A057659 A098040 A082565 this_sequence A047382 A117140 
               A031144
%Y A086255 Adjacent sequences: A086252 A086253 A086254 this_sequence A086256 A086257 
               A086258
%K A086255 more,nonn
%O A086255 1,1
%A A086255 Chuck Seggelin (barkeep(AT)plastereddragon.com), Jul 14 2003

Search completed in 0.001 seconds