cp's OEIS Frontend

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.

A072687 Number of primes with prime length names in range 1 -> 10^n.

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%I A072687 #20 Feb 16 2025 12:41:42
%S A072687 3,8,39,269,3047,14288,140205,1567591,10764655
%N A072687 Number of primes with prime length names in range 1 -> 10^n.
%C A072687 This sequence uses "and" (e.g., "one hundred and one") and does not count spaces, commas, or hyphens. - _Michael S. Branicky_, Mar 08 2021
%H A072687 Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a072/A072687.java">Java program</a> (github)
%e A072687 E.g., from the sequence of the valid primes (A072686) there are three prime-length primes between 1 and 10: 2,3,7; therefore a(1)=3.
%e A072687 23 ("twentythree", 11 letters) and 109 ("one hundred and nine", 17 letters) are counted.
%o A072687 (Python)
%o A072687 from num2words import num2words
%o A072687 from sympy import isprime, primerange
%o A072687 def n2w(n):
%o A072687   return num2words(n).replace(chr(44), "").replace(" ", "").replace("-", "")
%o A072687 def a(n): return sum(isprime(len(n2w(p))) for p in primerange(2, 10**n))
%o A072687 print([a(n) for n in range(1, 7)]) # _Michael S. Branicky_, Mar 08 2021
%Y A072687 Cf. A072686.
%K A072687 more,nonn,word
%O A072687 1,1
%A A072687 Mark Hudson (mrmarkhudson(AT)hotmail.com), Jul 02 2002
%E A072687 a(6)-a(8) from _Sean A. Irvine_, Nov 08 2011
%E A072687 a(8) corrected by _Sean A. Irvine_, Apr 28 2019
%E A072687 a(8) corrected and a(9) from _Michael S. Branicky_, Mar 08 2021