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A101569 Indices of primes in sequence defined by A(0) = 59, A(n) = 10*A(n-1) - 81 for n > 0. 0
0, 1, 2, 4, 7, 19, 28, 85, 282, 756, 1198, 2472, 2732 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Numbers n such that 50*10^n + 9 is prime.

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

Numbers corresponding to terms <= 756 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

500009 is prime, hence 4 is a term.

PROG

(PARI) a=59; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-81)

(PARI) for(n=0, 1500, if(isprime(50*10^n+9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A103004(n) - 1.

Sequence in context: A076894 A047871 A103032 * A101805 A145777 A188497

Adjacent sequences:  A101566 A101567 A101568 * A101570 A101571 A101572

KEYWORD

nonn,more

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) 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

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Last modified February 15 12:14 EST 2012. Contains 205783 sequences.