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| ||||
|---|---|---|---|---|
| Cardinal | one hundred seventy-nine | |||
| Ordinal | 179th (one hundred seventy-ninth) | |||
| Factorization | prime | |||
| Prime | 41st | |||
| Divisors | 1, 179 | |||
| Greek numeral | ΡΟΘ´ | |||
| Roman numeral | CLXXIX | |||
| Binary | 101100112 | |||
| Ternary | 201223 | |||
| Senary | 4556 | |||
| Octal | 2638 | |||
| Duodecimal | 12B12 | |||
| Hexadecimal | B316 | |||
179 (one hundred [and] seventy-nine) is the natural number following 178 and preceding 180.
179 is part of the Cunningham chain of prime numbers 89, 179, 359, 719, 1439, 2879, in which each successive number is two times the previous number, plus one. Among Cunningham chains of this length, this one has the smallest numbers. Because 179 is neither the start nor the end of this chain, it is both a safe prime and a Sophie Germain prime. [1] It is also a super-prime number, because it is the 41st smallest prime and 41 is also prime. Since 971 (the digits of 179 reversed) is prime, 179 is an emirp.
Astronomers have suggested that sunspot frequency undergoes a cycle of approximately 179 years in length. [2]
Sunspots are phenomena on the Sun's photosphere that appear as temporary spots that are darker than the surrounding areas. They are regions of reduced surface temperature caused by concentrations of magnetic flux that inhibit convection. Sunspots appear within active regions, usually in pairs of opposite magnetic polarity. Their number varies according to the approximately 11-year solar cycle.
In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. The number 2p + 1 associated with a Sophie Germain prime is called a safe prime. For example, 11 is a Sophie Germain prime and 2 × 11 + 1 = 23 is its associated safe prime. Sophie Germain primes are named after French mathematician Sophie Germain, who used them in her investigations of Fermat's Last Theorem. One attempt by Germain to prove Fermat’s Last Theorem was to let p be a prime number of the form 8k + 7 and to let n = p – 1. In this case, is unsolvable. Germain’s proof, however, remained unfinished. Through her attempts to solve Fermat's Last Theorem, Germain developed a result now known as Germain's Theorem which states that if p is an odd prime and 2p + 1 is also prime, then p must divide x, y, or z. Otherwise, . This case where p does not divide x, y, or z is called the first case. Sophie Germain’s work was the most progress achieved on Fermat’s last theorem at that time. Latter work by Kummer and others always divided the problem into first and second cases. Sophie Germain primes and safe primes have applications in public key cryptography and primality testing. It has been conjectured that there are infinitely many Sophie Germain primes, but this remains unproven.
111 is the natural number following 110 and preceding 112.
In mathematics, a Cunningham chain is a certain sequence of prime numbers. Cunningham chains are named after mathematician A. J. C. Cunningham. They are also called chains of nearly doubled primes.
60 (sixty) is the natural number following 59 and preceding 61. Being three times 20, it is called threescore in older literature.
89 (eighty-nine) is the natural number following 88 and preceding 90.
105 is the natural number following 104 and preceding 106.
1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.
300 is the natural number following 299 and preceding 301.
127 is the natural number following 126 and preceding 128. It is also a prime number.
180 is the natural number following 179 and preceding 181.
500 is the natural number following 499 and preceding 501.
700 is the natural number following 699 and preceding 701.
The interesting number paradox is a humorous paradox which arises from the attempt to classify every natural number as either "interesting" or "uninteresting". The paradox states that every natural number is interesting. The "proof" is by contradiction: if there exists a non-empty set of uninteresting natural numbers, there would be a smallest uninteresting number – but the smallest uninteresting number is itself interesting because it is the smallest uninteresting number, thus producing a contradiction.
The Wolf number is a quantity that measures the number of sunspots and groups of sunspots present on the surface of the Sun.
139 is the natural number following 138 and preceding 140.
210 is the natural number following 209 and preceding 211.
In number theory, a full reptend prime, full repetend prime, proper prime or long prime in base b is an odd prime number p such that the Fermat quotient
41 (forty-one) is the natural number following 40 and preceding 42.
In number theory, a bi-twin chain of length k + 1 is a sequence of natural numbers