|
Search: id:A101590
|
|
|
| A101590 |
|
Indices of primes in sequence defined by A(0) = 53, A(n) = 10*A(n-1) + 63 for n > 0. |
|
+0
1
|
|
| 0, 1, 4, 5, 6, 10, 16, 28, 41, 46, 95, 107, 165, 209, 330, 1021, 3592, 4425, 5703
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
Numbers n such that (540*10^n - 63)/9 is prime.
Numbers n such that digit 5 followed by n >= 0 occurrences of digit 9 followed by digit 3 is prime.
Numbers corresponding to terms <= 330 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
|
593 is prime, hence 1 is a term.
|
|
PROGRAM
|
(PARI) a=53; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+63)
(PARI) for(n=0, 1500, if(isprime((540*10^n-63)/9), print1(n, ", ")))
|
|
CROSSREFS
|
Cf. A000533, A002275.
a(n) = A103025(n) - 1.
Sequence in context: A114439 A079257 A001609 this_sequence A057916 A007606 A047311
Adjacent sequences: A101587 A101588 A101589 this_sequence A101591 A101592 A101593
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 09 2004
|
|
EXTENSIONS
|
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
|
|
|
Search completed in 0.002 seconds
|
