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A101068 Indices of primes in sequence defined by A(0) = 87, A(n) = 10*A(n-1) - 23 for n > 0. 0
2, 4, 100, 104, 4096, 5732, 9754 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Numbers n such that (760*10^n + 23)/9 is prime.

Numbers n such that digit 8 followed by n >= 0 occurrences of digit 4 followed by digit 7 is prime.

Numbers corresponding to terms <= 104 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) = A103081(n) - 1. - Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008

EXAMPLE

8447 is prime, hence 2 is a term.

PROG

(PARI) a=87; for(n=0, 1000, if(isprime(a), print1(n, ", ")); a=10*a-23)

(PARI) for(n=0, 1000, if(isprime((760*10^n + 23)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

Sequence in context: A092918 A018428 A128773 * A018435 A166094 A018440

Adjacent sequences:  A101065 A101066 A101067 * A101069 A101070 A101071

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 03:37 EST 2012. Contains 205570 sequences.