Posted on 11/23/2013 5:57:05 PM PST by BenLurkin
Most mathematicians have a sense that the twin primes conjecture should be true — the positioning of the prime numbers appear to be more or less random, even though on average the gaps between primes get larger, and if one has an infinitely long list of random odd numbers, we should have an infinite collection of pairs in our list. If at some point, prime numbers are always more than two numbers away from each other, we have a non-random aspect to their distribution that goes against this intuition.
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It’s VI of one or a half XII of the other.
Just looked at the thermometer - 12 degrees. Gonna be a three dog night tonight.
The post is a joke not factual....
I’ll try harder next time...
Most ancient cultures used base-10 in one way or another. Many used different symbols for ones, tens, hundreds, etc. like Roman numerals, but the grouping of powers of ten was there. The Sumerians used base 60, with each place value of 60s, split as tens and ones.
Wikipedia, Babylonian numerals
Wikipedia, Egyptian numerals
Classic Greek numbers
“A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. “
“The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 × 3, 1 × 1 × 3, etc. are all valid factorizations of 3.”
http://en.wikipedia.org/wiki/Prime_number#Definition_and_examples
I don’t see a sqrt(-1)...
“Numba. Numba. Too many numba.” —Vic Ten
Yah. Well... OK. :-)
(11i)2 uses "i" which is sqrt(-1). Although since it is squared that makes that term -121.
As of February 2013, the largest known prime number has 17,425,170 decimal digits.
“Nobody cares... You... You just don’t understand!”
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997
In your imagination.
well, technically, (-2) is also prime.
Heh.
There are infinite prime numbers (that is easy to prove).
What is harder to prove is whether there are infinite pairs of primes (say 11&13, 17&19, etc.) two apart. Of course they’d have to end in {1,3}, {7,9}, or {9,1).
A more elegant expression for -1 is
that is a great observation, bob
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