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A101965 Indices of primes in sequence defined by A(0) = 29, A(n) = 10*A(n-1) - 21 for n > 0. 0
0, 1, 3, 6, 13, 19, 38, 101, 155, 456, 1189, 2307, 5869, 8313, 9702 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Numbers n such that (240*10^n + 21)/9 is prime.

Numbers n such that digit 2 followed by n >= 0 occurrences of digit 6 followed by digit 9 is prime.

Numbers corresponding to terms <= 456 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

26669 is prime, hence 3 is a term.

PROG

(PARI) a=29; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-21)

(PARI) for(n=0, 1500, if(isprime((240*10^n+21)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A102957(n) - 1.

Sequence in context: A080546 A080554 A064349 * A147009 A064290 A064621

Adjacent sequences:  A101962 A101963 A101964 * A101966 A101967 A101968

KEYWORD

nonn,hard,more

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 23 2004

EXTENSIONS

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

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Last modified February 17 04:58 EST 2012. Contains 205985 sequences.