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A102021 Indices of primes in sequence defined by A(0) = 19, A(n) = 10*A(n-1) - 31 for n > 0. 0
0, 2, 3, 6, 11, 50, 86, 122, 197, 201, 536, 830, 1322, 2507, 2630, 5567, 6896, 7523, 9938 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that (140*10^n + 31)/9 is prime.

Numbers n such that digit 1 followed by n >= 0 occurrences of digit 5 followed by digit 9 is prime.

Numbers corresponding to terms <= 830 are certified primes.

REFERENCES

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

LINKS

Makoto Kamada, Factorizations of near-repdigit numbers.

EXAMPLE

1559 is prime, hence 2 is a term.

PROG

(PARI) a=19; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-31)

(PARI) for(n=0, 1500, if(isprime((140*10^n+31)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A102938(n) - 1.

Sequence in context: A022490 A102952 A065653 * A144641 A082002 A102779

Adjacent sequences:  A102018 A102019 A102020 * A102022 A102023 A102024

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

EXTENSIONS

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.