|
| |
|
|
A101527
|
|
Indices of primes in sequence defined by A(0) = 61, A(n) = 10*A(n-1) + 31 for n > 0.
|
|
0
| |
|
|
0, 1, 6, 18, 24, 36, 48, 132, 612, 1339, 2035, 2490, 26262
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
COMMENTS
| Numbers n such that (580*10^n - 31)/9 is prime.
Numbers n such that digit 6 followed by n >= 0 occurrences of digit 4 followed by digit 1 is prime.
Numbers corresponding to terms <= 612 are certified primes.
|
|
|
REFERENCES
| Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
|
|
|
FORMULA
| a(n) = A103034(n) - 1.
|
|
|
EXAMPLE
| 641 is prime, hence 1 is a term.
|
|
|
PROG
| (PARI) a=61; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+31)
(PARI) for(n=0, 1500, if(isprime((580*10^n-31)/9), print1(n, ", ")))
|
|
|
CROSSREFS
| Cf. A000533, A002275.
Sequence in context: A081318 A011775 A015707 * A028887 A051395 A028558
Adjacent sequences: A101524 A101525 A101526 * A101528 A101529 A101530
|
|
|
KEYWORD
| nonn,hard,more
|
|
|
AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 06 2004
|
|
|
EXTENSIONS
| Two more terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Dec 22 2007
a(13) from Max Alekseyev (maxale(AT)gmail.com), Dec 12 2011
|
| |
|
|