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A102010
Indices of primes in sequence defined by A(0) = 17, A(n) = 10*A(n-1) - 43 for n > 0.
1
0, 1, 3, 13, 24, 31, 55, 61, 810, 811, 1083, 2532, 11923, 49551
OFFSET
1,3
COMMENTS
Numbers n such that (110*10^n + 43)/9 is prime.
Numbers n such that digit 1 followed by n >= 0 occurrences of digit 2 followed by digit 7 is prime.
Numbers corresponding to terms <= 811 are certified primes.
a(15) > 10^5. - Robert Price, Jan 16 2015
a(15) > 2*10^5. - Tyler Busby, Feb 01 2023
REFERENCES
Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
FORMULA
a(n) = A102930(n) - 1.
EXAMPLE
12227 is prime, hence 3 is a term.
PROG
(PARI) a=17; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-43)
(PARI) for(n=0, 1500, if(isprime((110*10^n+43)/9), print1(n, ", ")))
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 28 2004
EXTENSIONS
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
a(13)-a(14) derived from A102930 by Robert Price, Jan 16 2015
STATUS
approved