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A101967 Indices of primes in sequence defined by A(0) = 23, A(n) = 10*A(n-1) + 43 for n > 0. 0
0, 3, 9, 164, 227, 383, 2889, 3444 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that (250*10^n - 43)/9 is prime.

Numbers n such that digit 2 followed by n >= 0 occurrences of digit 7 followed by digit 3 is prime.

Numbers corresponding to terms <= 383 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

27773 is prime, hence 3 is a term.

PROG

(PARI) a=23; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+43)

(PARI) for(n=0, 1500, if(isprime((250*10^n-43)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A102958(n) - 1.

Sequence in context: A163402 A082707 A087193 * A078590 A061963 A174603

Adjacent sequences:  A101964 A101965 A101966 * A101968 A101969 A101970

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 14 06:20 EST 2012. Contains 205570 sequences.