A102027 Indices of primes in sequence defined by A(0) = 13, A(n) = 10*A(n-1) + 43 for n > 0.

0, 1, 7, 25, 43, 166, 184, 3817, 8740, 50794

Offset

1,3

Comments

Numbers n such that (160*10^n - 43)/9 is prime.

Numbers n such that digit 1 followed by n >= 0 occurrences of digit 7 followed by digit 3 is prime.

Numbers corresponding to terms <= 184 are certified primes.

a(11) > 10^5. - Robert Price, Feb 11 2015

References

Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.

Links

Table of n, a(n) for n=1..10.

Makoto Kamada, Prime numbers of the form 177...773.

Index entries for primes involving repunits.

Formula

a(n) = A102942(n) - 1.

Example

173 is prime, hence 1 is a term.

Prog

(PARI) a=13; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+43)
(PARI) for(n=0, 1500, if(isprime((160*10^n-43)/9), print1(n, ", ")))

Crossrefs

Cf. A000533, A002275, A102942.

Sequence in context: A294459 A075927 A119617 * A031294 A147129 A173825

Adjacent sequences: A102024 A102025 A102026 * A102028 A102029 A102030

Keyword

nonn,hard,more

Author

Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 28 2004

Extensions

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

a(10) from Robert Price, Feb 11 2015

Status

approved