There's no single "rarest number" because numbers are infinite, but some are considered rare due to unique mathematical properties, like perfect numbers (e.g., 6, 28) with few known examples, or Carmichael numbers, which become incredibly sparse as they grow larger, with only ~20 million found up to 10^21. Other "rare" numbers appear in specific patterns, such as the Kaprekar constant 6174, or palindromic numbers like Belphegor's Prime, making rarity context-dependent.
The answer to this question depends on how we define "rare" in this context. However, one candidate for the rarest extremely large, finite number in the English language might be the googolplex, which is defined as 1010100 10 1 0 1 00 or 1 followed by a googol 10100 10 1 00 zeros.
Quintillion is the denomination used for large numbers. A quintillion is the number name for 10 raised to the power of 18, that is, one followed by 18 zeros. In the International numeral system, a quintillion has 6 groups of zeros in 3, that is, 1,000,000,000,000,000,000.
This sequence does not extend above 52 because it is, an untouchable number, since it is never the sum of proper divisors of any number. It is the first untouchable number larger than 2 and 5.
The number 12,345,678,910,987,654,321 is indeed prime. It consists of 20 digits and is really easy to remember: count to 10 and then count backward again until you get to 1. But it has been unclear whether other primes take the palindromic form of starting at 1, ascending to the number n and then descending again.
Belphegor's prime (1000000000000066600000000000001, or 1030+666*1014+1) is a palindromic prime number discovered by mathematician Harvey Dubner.
Fourteen is an unlucky number seen as even worse than four because it sounds like 'definitely die. ' This adds an extra layer of bad luck to the already unlucky four. People are very careful to avoid this number. They don't like to use it for things like floor numbers in buildings or important dates.
70 is the smallest weird number, which is a natural number that is abundant but not semiperfect. 70 is also part of the only nontrivial solution pair to the cannonball problem, along with 24.
A unit of quantity equal to 1051 (1 followed by 51 zeros).
Using this algorithm with hand computations on paper, Lucas showed in 1876 that the 39-digit number (2127 – 1) equals 170,141,183,460,469,231,731,687,303,715,884,105,727, and that value is prime. Also known as M127, this number remains the largest prime verified by hand computations.
The golden ratio, also known as the golden number, golden proportion, or the divine proportion, is a ratio between two numbers that equals approximately 1.618. Usually written as the Greek letter phi, it is strongly associated with the Fibonacci sequence, a series of numbers wherein each number is added to the last.
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Summary: The next number in the given sequence 3, 4, 6, 9, 13, 18, 24 is 31.
The common suggestion is that because seven is a number of "completeness" and is associated with the divine, six is "incomplete", and the three sixes are "inherently incomplete". The number is therefore suggestive that the Dragon and his beasts are profoundly deficient.
Three times the Lord called Samuel, and three times Samuel failed to recognize God's voice. It was the fourth time, and only after receiving wise counsel from Eli, that Samuel finally came to recognize and answer the voice of the Caller (1 Samuel 3:10).
The number 13 may be associated with some famous but undesirable dinner guests. In Norse mythology, the god Loki was 13th to arrive at a feast in Valhalla, where he tricked another attendee into killing the god Baldur. In Christianity, Judas — the apostle who betrayed Jesus — was the 13th guest at the Last Supper.
Background: The numbers 4, 14 and 24 are associated with death for Cantonese-speaking Chinese people, as the words for these numbers sound like the words for "death", "must die" and "easy to die", respectively.
The number 8 is believed to be the luckiest number in China because '8' is associated with wealth. 'Eight' (八) in Chinese is pronounced ba and sounds similar to fa (发, traditional character: 發) as in facai (发财), meaning 'well-off' or 'becoming rich in a short time'.
The number 2099 has only two factors, 1 and 2099, so it meets the definition of a prime number.
Thus 0 = 2 x 0, 2 = 2 x 1, 4 = 2 x 2, and so on. All odd numbers can be expressed in the form 2n + 1, thus 1 = (2 x 0) + 1, 3 = (2 x 1) + 1, 5 = (2 x 2) + 1, etc. Zero cannot be odd, because there is no whole number n such that 2n + 1 = 0.
Caldwell and Xiong start with classical Greek mathematicians. They did not consider 1 to be a number in the same way that 2, 3, 4, and so on are numbers. 1 was considered a unit, and a number was composed of multiple units. For that reason, 1 couldn't have been prime — it wasn't even a number.