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A102019 Indices of primes in sequence defined by A(0) = 13, A(n) = 10*A(n-1) + 23 for n > 0. 0
0, 2, 5, 14, 69, 75 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that (140*10^n - 23)/9 is prime.

Numbers n such that digit 1 followed by n >= 0 occurrences of digit 5 followed by digit 3 is prime.

Numbers corresponding to terms <= 75 are certified primes. No further terms up to 3100.

REFERENCES

Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.

EXAMPLE

1553 is prime, hence 2 is a term.

PROG

(PARI) a=13; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+23)

(PARI) for(n=0, 1500, if(isprime((140*10^n-23)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A102936(n) - 1.

Sequence in context: A049082 A158095 A059958 * A097595 A081483 A118478

Adjacent sequences:  A102016 A102017 A102018 * A102020 A102021 A102022

KEYWORD

nonn,hard,more

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 28 2004

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Last modified February 15 11:25 EST 2012. Contains 205777 sequences.