Distinguished delegates, colleagues and friends, Writers and futurists have long echoed Alvin and Heidi Toffler’s idea that “the future arrives too fast…and in the wrong order.” Today, we know, the ...

Some algorithms solve problems. This one changed civilization. From guiding satellites to securing your bank account, its ...

ABSTRACT: We show that any semiprime number can be factorized as the product of two prime numbers in the form of a kernel factor pair of two out of 48 root numbers. Specifically, each natural number ...

For centuries, prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that help identify them and the way they're distributed among other numbers.

Quantum computers still can’t do much. Almost every time researchers have found something the high-tech machines should one day excel at, a classical algorithm comes along that can do it just as well ...

May 30 (UPI) --A shard of smooth bone etched with irregular marks dating back 20,000 years puzzled archaeologists until they noticed something unique - the etchings, lines like tally marks, may have ...

3) If (q j, q j ^ | i) is not a co-factor-pair, then (q j ^ | i, q j) is a factor-pair with the same generation t j | i as (q j, q j ^ | i). 4) For any j and i, we have t j | i ≤ r j. We found that ...

Abstract: Cryptography is the practice and study of hiding information. A key challenge in cryptography is securely sharing keys through public channels. The RSA algorithm addresses this challenge ...

One of my favorite anecdotes about prime numbers concerns Alexander Grothendieck, who was among the most brilliant mathematicians of the 20th century. According to one account, he was once asked to ...

Prime numbers, the "atoms of arithmetic," have captivated mathematicians for centuries. These numbers, divisible only by themselves and one, appear deceptively random yet hide intricate patterns.

A new proof has brought mathematicians one step closer to understanding the hidden order of those “atoms of arithmetic,” the prime numbers. The primes — numbers that are only divisible by themselves ...