Mirpzahl

A mirp number is a prime number which , when read backwards, results in another prime number ( mirp is prim backwards written). A prime number palindrome is therefore not a mirp number, since reading backwards also results in a prime number, but not a different one, but the same one. In contrast to the prime number property, the multiple number property also depends on the place value system used .

The first mirp numbers in the decimal system are 13, 17, 31, 37, 71, 73, 79, 97, 107, 113, 149, 157, 167, 179, 199, 311, 337, 347, 359 ... (sequence A006567 in OEIS ).

The largest so far known mirp number is (as of October 2015) ${\displaystyle 10^{10006}[phone]\cdot 10^{4999}+1}$

The following 11 consecutive prime numbers are all mirp numbers:

1477271183, 1477271249, 1477271251, 1477271269, 1477271291, 1477271311, 1477271317, 1477271351, 1477271357, 1477271381, 1477271387

However, the Mirp numbers have no particular mathematical significance. Rather, they can be assigned to the field of entertainment mathematics.

See also

• Special prime numbers and prime number constellations
• List of special numbers
• Mirror number

literature

• Martin Gardner : The Magic numbers of Dr. Matrix. Prometheus Books, Buffalo NY 1985, ISBN 0-87975-282-3

Web links

Wiktionary: Mirpzahl  - explanations of meanings, word origins, synonyms, translations

• Follow A006567 in OEIS
• Eric W. Weisstein : Emirp . In: MathWorld (English).
• Mirp numbers in the Prime Glossary

Individual evidence

1. ^ Carlos Rivera: Reversible Primes . primepuzzles.net; accessed on February 21, 2014.
2. ^ Karl-Heinz Kuhl: Prime Numbers - Well-Known and New - A Foray through the Landscape of Prime Numbers. (PDF) Eckhard Bodner, Pressath, 2018, p. 64 , accessed on April 28, 2018 . 
3. ↑ Volker Zota: Numbers, please! Is 73 the Best Number? In: heise.de. August 8, 2017. Retrieved August 9, 2017 .