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- Dihedral_prime abstract "A dihedral prime or dihedral calculator prime is a prime number that still reads like itself or another prime number when read in a seven-segment display, regardless of orientation (normally or upside down), and surface (actual display or reflection on a mirror). The first few decimal dihedral primes are2, 5, 11, 101, 181, 1181, 1811, 18181, 108881, 110881, 118081, 120121, 121021, 121151, 150151, 151051, 151121, 180181, 180811, 181081 (sequence A134996 in OEIS).The smallest dihedral prime that reads differently with each orientation and surface combination is 120121 which becomes 121021 (upside down), 151051 (mirrored), and 150151 (both upside down and mirrored).The digits 0, 1 and 8 remain the same regardless of orientation or surface (the fact that 1 moves from the right to the left of the seven-segment cell when reversed is ignored). 2 and 5 remain the same when viewed upside down, and turn into each other when reflected in a mirror. In the display of a calculator that can handle hexadecimal, 3 would become E reflected, but E being an even digit, the three cannot be used as the first digit because the reflected number will be even. Though 6 and 9 become each other upside down, they are not valid digits when reflected, at least not in any of the numeral systems pocket calculators usually operate in.Strobogrammatic primes that don't use 6 or 9 are dihedral primes. This includes repunit primes and all other palindromic primes which only contain digits 0, 1 and 8 (in binary, all palindromic primes are dihedral). It appears to be unknown whether there exist infinitely many dihedral primes, but this would follow from the conjecture that there are infinitely many repunit primes.The palindromic prime 10180054 + 8×(1058567−1)/9×1060744 + 1, discovered in 2009 by Darren Bedwell, is 180055 digits long and may be the largest known dihedral prime as of 2009.".
- Dihedral_prime thumbnail Seven_segment_display-animated.gif?width=300.
- Dihedral_prime wikiPageExternalLink DihedralPrime.html.
- Dihedral_prime wikiPageExternalLink puzz_039.htm.
- Dihedral_prime wikiPageID "3473539".
- Dihedral_prime wikiPageLength "2925".
- Dihedral_prime wikiPageOutDegree "16".
- Dihedral_prime wikiPageRevisionID "681323030".
- Dihedral_prime wikiPageWikiLink 101_(number).
- Dihedral_prime wikiPageWikiLink 11_(number).
- Dihedral_prime wikiPageWikiLink 181_(number).
- Dihedral_prime wikiPageWikiLink 2_(number).
- Dihedral_prime wikiPageWikiLink 5_(number).
- Dihedral_prime wikiPageWikiLink Binary_number.
- Dihedral_prime wikiPageWikiLink Binary_numeral_system.
- Dihedral_prime wikiPageWikiLink Category:Base-dependent_integer_sequences.
- Dihedral_prime wikiPageWikiLink Category:Classes_of_prime_numbers.
- Dihedral_prime wikiPageWikiLink Decimal.
- Dihedral_prime wikiPageWikiLink Hexadecimal.
- Dihedral_prime wikiPageWikiLink Palindromic_prime.
- Dihedral_prime wikiPageWikiLink Prime_number.
- Dihedral_prime wikiPageWikiLink Repunit.
- Dihedral_prime wikiPageWikiLink Repunit_prime.
- Dihedral_prime wikiPageWikiLink Seven-segment_display.
- Dihedral_prime wikiPageWikiLink Strobogrammatic_prime.
- Dihedral_prime wikiPageWikiLink File:Seven_segment_display-animated.gif.
- Dihedral_prime wikiPageWikiLinkText "Dihedral prime".
- Dihedral_prime wikiPageWikiLinkText "dihedral prime".
- Dihedral_prime wikiPageWikiLinkText "dihedral".
- Dihedral_prime hasPhotoCollection Dihedral_prime.
- Dihedral_prime wikiPageUsesTemplate Template:As_of.
- Dihedral_prime wikiPageUsesTemplate Template:Cite_web.
- Dihedral_prime wikiPageUsesTemplate Template:OEIS.
- Dihedral_prime wikiPageUsesTemplate Template:Prime_number_classes.
- Dihedral_prime subject Category:Base-dependent_integer_sequences.
- Dihedral_prime subject Category:Classes_of_prime_numbers.
- Dihedral_prime hypernym Number.
- Dihedral_prime type Article.
- Dihedral_prime type Article.
- Dihedral_prime type Class.
- Dihedral_prime comment "A dihedral prime or dihedral calculator prime is a prime number that still reads like itself or another prime number when read in a seven-segment display, regardless of orientation (normally or upside down), and surface (actual display or reflection on a mirror).".
- Dihedral_prime label "Dihedral prime".
- Dihedral_prime sameAs m.09fd2y.
- Dihedral_prime sameAs Q5276398.
- Dihedral_prime sameAs Q5276398.
- Dihedral_prime wasDerivedFrom Dihedral_prime?oldid=681323030.
- Dihedral_prime depiction Seven_segment_display-animated.gif.
- Dihedral_prime isPrimaryTopicOf Dihedral_prime.