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A101531
Indices of primes in sequence defined by A(0) = 61, A(n) = 10*A(n-1) + 41 for n > 0.
1
0, 2, 3, 9, 21, 39, 53, 80, 83, 105, 192, 596, 680, 1362, 1875, 4023, 14162, 18732, 20841, 23727, 26418, 31449, 44693, 64766
OFFSET
1,2
COMMENTS
Numbers n such that (590*10^n - 41)/9 is prime.
Numbers n such that digit 6 followed by n >= 0 occurrences of digit 5 followed by digit 1 is prime.
Numbers corresponding to terms <= 680 are certified primes.
REFERENCES
Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
FORMULA
a(n) = A103038(n+1) - 1.
EXAMPLE
65551 is prime, hence 3 is a term.
MATHEMATICA
Select[Range[0, 100000], PrimeQ[(590*10^# - 41)/9] &] (* Robert Price, Sep 11 2015 *)
PROG
(PARI) a=61; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+41)
(PARI) for(n=0, 1500, if(isprime((590*10^n-41)/9), print1(n, ", ")))
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 06 2004
EXTENSIONS
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
a(17)-a(23) from Kamada data by Ray Chandler, Apr 30 2015
a(24) from Robert Price, Sep 11 2015
STATUS
approved