This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A350825 #11 Apr 11 2022 22:06:24 %S A350825 2,2,1,4,12,44,256,1062,5838 %N A350825 Number of prime 5-tuples with initial member (A086140) between 10^(n-1) and 10^n. %C A350825 "Between 10^(n-1) and 10^n" is equivalent to saying "with n digits". %C A350825 For n = 1 and n = 2, the last term of the last 5-tuple in that range (cf EXAMPLE) has one digit more than the initial term. %C A350825 Terms a(1)-a(9) computed from b-files a(1..10000) for A022006 and A022007. %e A350825 a(1) = 2 because there are just two single-digit primes to start a prime 5-tuple, namely 5 = A022006(1) and 7 = A022007(1). %e A350825 a(2) = 2 because 11 = A022006(2) and 97 = A022007(2) are the only two two-digit primes to start a prime 5-tuple. %e A350825 a(3) = 1 because there is only one three-digit prime to start a prime 5-tuple, namely 101 = A022006(3). %e A350825 Then there are a(4) = 4 four-digit primes, 1481, 1867, 3457 and 5647, which start a prime 5-tuple. %o A350825 (PARI) (D(v)=v[^1]-v[^-1])( [setsearch(A086140, 10^n, 1) | n<-[0..9]] ) \\ where A086140 is a vector of at least 7221 terms of that sequence. %Y A350825 Cf. A086140 (initial members p of prime quintuplets), A022006, A022007 (idem, specifically for patterns (p, p+2, ...) resp. (p, p+4, ...)). %Y A350825 Cf. A350826, A350827, A350828: similar for sextuplets, septuplets and octuplets. %K A350825 nonn,base,hard,more %O A350825 1,1 %A A350825 _M. F. Hasler_, Mar 01 2022