Base-dependent integer sequences | Prime numbers
In recreational number theory, a primeval number is a natural number n for which the number of prime numbers which can be obtained by permuting some or all of its digits (in base 10) is larger than the number of primes obtainable in the same way for any smaller natural number. Primeval numbers were first described by Mike Keith. The first few primeval numbers are 1, 2, 13, 37, 107, 113, 137, 1013, 1037, 1079, 1237, 1367, 1379, 10079, 10123, 10136, 10139, 10237, 10279, 10367, 10379, 12379, 13679, ... (sequence in the OEIS) The number of primes that can be obtained from the primeval numbers is 0, 1, 3, 4, 5, 7, 11, 14, 19, 21, 26, 29, 31, 33, 35, 41, 53, 55, 60, 64, 89, 96, 106, ... (sequence in the OEIS) The largest number of primes that can be obtained from a primeval number with n digits is 1, 4, 11, 31, 106, 402, 1953, 10542, 64905, 362451, 2970505, ... (sequence in the OEIS) The smallest n-digit number to achieve this number of primes is 2, 37, 137, 1379, 13679, 123479, 1234679, 12345679, 102345679, 1123456789, 10123456789, ... (sequence in the OEIS) Primeval numbers can be composite. The first is 1037 = 17×61. A Primeval prime is a primeval number which is also a prime number: 2, 13, 37, 107, 113, 137, 1013, 1237, 1367, 10079, 10139, 12379, 13679, 100279, 100379, 123479, 1001237, 1002347, 1003679, 1012379, ... (sequence in the OEIS) The following table shows the first seven primeval numbers with the obtainable primes and the number of them. (Wikipedia).
Prime Factoring - GCSE Mathematics Revision (Foundation)
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From playlist Number
Interesting Facts About the Last Digits of Prime Numbers
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From playlist Mathematics General Interest
Algebra - Ch. 6: Factoring (4 of 55) What is a Prime Number?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a prime number. A prime number is a positive integer that can only be written as a product of one and itself. Its factors are “1” and itself. To donate: http://www.ilectureonline.com/
From playlist ALGEBRA CH 6 FACTORING
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From playlist Number Sense - Whole Numbers
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From playlist Prime Numbers, HCF and LCM - GCSE 9-1 Maths
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From playlist Prime Numbers
ALGEBRA & PRE-ALGEBRA REVIEW: Ch 1 (17 of 53) What Are Prime Numbers?
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From playlist Michel van Biezen: MATH TO KNOW BEFORE HIGH SCHOOL
Sex & Sexuality: Crash Course Sociology #31
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From playlist Introduction to the Old Testament With Christine Hayes
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From playlist Ancient Aliens: Official Series Playlist | New Episodes Fridays at 9/8c | History
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From playlist How the Universe Works
Today we examine the massive crocodile-like amphibian! Music: Walking with Dinosaurs Soundtrack Disclaimer to owners of copyrighted images: At the time of this video's creation I didn't fully understand copyright and fair use, so dear owners of images used in the video, if I displayed an
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From playlist GCSE Maths: N4
Yggdrasil - Nine Worlds of the Norse - Extra Mythology
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Prealgebra 3.02b - Prime Numbers
An introduction to prime numbers. What they are and some essential concepts.
From playlist Prealgebra Chapter 3 (Complete chapter)