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A101060 Indices of primes in sequence defined by A(0) = 89, A(n) = 10*A(n-1) - 71 for n > 0. 0
0, 3, 6, 8, 18, 21, 69, 101, 120, 122, 234, 359, 593, 1613, 2409 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that (730*10^n + 71)/9 is prime.

Numbers n such that digit 8 followed by n >= 0 occurrences of digit 1 followed by digit 9 is prime.

Numbers corresponding to terms <= 593 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.

FORMULA

a(n) = A103073(n) - 1. - Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008

EXAMPLE

81119 is prime, hence 3 is a term.

PROG

(PARI) a=89; for(n=0, 1000, if(isprime(a), print1(n, ", ")); a=10*a-71)

(PARI) for(n=0, 1000, if(isprime((730*10^n+71)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

Sequence in context: A123208 A179652 A068979 * A038064 A093899 A137129

Adjacent sequences:  A101057 A101058 A101059 * A101061 A101062 A101063

KEYWORD

nonn,hard,more

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Nov 30 2004

EXTENSIONS

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008

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Last modified February 14 07:52 EST 2012. Contains 205597 sequences.