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A101573
Indices of primes in sequence defined by A(0) = 51, A(n) = 10*A(n-1) + 11 for n > 0.
1
1, 8, 11, 14, 25, 44, 61, 79, 127, 325, 493, 613, 709, 1640, 1645, 2102, 8513, 8687
OFFSET
1,2
COMMENTS
Numbers n such that (470*10^n - 11)/9 is prime.
Numbers n such that digit 5 followed by n >= 0 occurrences of digit 2 followed by digit 1 is prime.
Numbers corresponding to terms <= 709 are certified primes.
a(19) > 10^5. - Robert Price, Jul 04 2015
REFERENCES
Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
FORMULA
a(n) = A103008(n) - 1.
EXAMPLE
521 is prime, hence 1 is a term.
PROG
(PARI) a=51; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+11)
(PARI) for(n=0, 1500, if(isprime((470*10^n-11)/9), print1(n, ", ")))
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 09 2004
EXTENSIONS
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
STATUS
approved