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A101075 Indices of primes in sequence defined by A(0) = 89, A(n) = 10*A(n-1) - 21 for n > 0. 0
0, 2, 16, 18, 32, 38, 168, 452, 610, 882, 1472, 6510, 9646 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that (780*10^n + 21)/9 is prime.

Numbers n such that digit 8 followed by n >= 0 occurrences of digit 6 followed by digit 9 is prime.

Numbers corresponding to terms <= 882 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

8669 is prime, hence 2 is a term.

PROG

(PARI) a=89; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-21)

(PARI) for(n=0, 1500, if(isprime((780*10^n+21)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A103088(n) - 1.

Sequence in context: A004831 A180923 A058242 * A022370 A161802 A050850

Adjacent sequences:  A101072 A101073 A101074 * A101076 A101077 A101078

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 16 23:45 EST 2012. Contains 205978 sequences.