|
|
A053008
|
|
Primes from products of split even-digit primes.
|
|
3
|
|
|
3, 7, 3, 7, 103, 109, 103, 409, 601, 109, 709, 907, 523, 139, 193, 853, 379, 397, 739, 937, 499, 223, 499, 1621, 2161, 6121, 6211, 4261, 4621, 6421, 2017, 2551, 5521, 139, 193, 769, 967, 997, 109, 3001, 1039, 1093, 3019, 3109, 9013, 9103, 4111, 1153, 1531
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
REFERENCES
|
C. A. Pickover, chapter 30 of Keys to Infinity. NY: Wiley, 1995. Pages 227-231.
|
|
LINKS
|
Table of n, a(n) for n=1..49.
Sean A. Irvine, Java program (github)
|
|
FORMULA
|
Take even-digit primes, split digits into two halves, multiply the halves and form primes by rearranging digits. If split in right half results in a leading zero, that prime is skipped.
If more than one prime can be formed from the digits of the product, then each appears in numerical order. Consequently this sequence is not in one-to-one correspondence with the terms of A053009 and A053010. - Sean A. Irvine, Dec 02 2021
|
|
EXAMPLE
|
103 is a term because from the prime 1013 we get 10 and 13 after the split; 10*13=130 and the digits 1 3 0 can be arranged to form 103, prime.
|
|
CROSSREFS
|
Cf. A053009, A053010.
Sequence in context: A151573 A113832 A115631 * A053010 A118452 A286090
Adjacent sequences: A053005 A053006 A053007 * A053009 A053010 A053011
|
|
KEYWORD
|
easy,nonn,base
|
|
AUTHOR
|
Enoch Haga, Feb 21 2000
|
|
EXTENSIONS
|
Missing terms inserted by Sean A. Irvine, Dec 02 2021
|
|
STATUS
|
approved
|
|
|
|