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A163648
Primes p with a prime number of syllables in their name in American English.
4
7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 53, 59, 61, 83, 89, 107, 113, 127, 137, 157, 167, 173, 179, 197, 227, 257, 271, 307, 313, 337, 347, 367, 373, 379, 397, 419, 457, 467, 479, 487, 547, 557, 571, 587, 607, 613, 619, 647, 673, 701, 709, 733, 739, 743, 751
OFFSET
1,1
COMMENTS
The word "and" is excluded, 101 is "one hundred one" rather than "one hundred and one."
See A231073 and A231075 for the analogs counting words resp. letters. - M. F. Hasler, Nov 03 2013
FORMULA
{p in A000040 such that A075774(p) is in A000040}.
EXAMPLE
a(1) = 7, which has a prime number, 2, of syllables sev-en. a(2) = 11, which has a prime number, 3, of syllables e-lev-en.
PROG
(PARI) forprime(p=1, 900, isprime(A075774(p))&&print1(p", ")) \\ - M. F. Hasler, Nov 03 2013
(PARI) is(p)=isprime(A075774(p))&&isprime(p) \\ - M. F. Hasler, Nov 03 2013
(Python) # uses function in A075774
from sympy import isprime
def ok(n): return isprime(A075774(n)) and isprime(n)
print([k for k in range(800) if ok(k)]) # Michael S. Branicky, May 27 2024
CROSSREFS
KEYWORD
word,easy,nonn
AUTHOR
Jonathan Vos Post, Aug 02 2009
EXTENSIONS
Extended and edited by Charles R Greathouse IV, Nov 02 2009
Values double-checked by M. F. Hasler, Nov 03 2013
STATUS
approved