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It thus improved upon the previous record-holding prime, 6,700,417, also discovered by Euler, forty years earlier. The number 2,147,483,647 remained the largest known prime until 1867. [4] In computing, this number is the largest value that a signed 32-bit integer field can hold.
The number 4,294,967,295 is a whole number equal to 2 32 − 1. It is a perfect totient number, meaning it is equal to the sum of its iterated totients. [1][2] It follows 4,294,967,294 and precedes 4,294,967,296. It has a factorization of . In computing, 4,294,967,295 is the highest unsigned (that is, not negative) 32-bit integer, which makes ...
A floating-point variable can represent a wider range of numbers than a fixed-point variable of the same bit width at the cost of precision. A signed 32-bit integer variable has a maximum value of 2 31 − 1 = 2,147,483,647, whereas an IEEE 754 32-bit base-2 floating-point variable has a maximum value of (2 − 2 −23) × 2 127 ≈ 3.4028235 ...
A 32-bit register can store 2 32 different values. The range of integer values that can be stored in 32 bits depends on the integer representation used. With the two most common representations, the range is 0 through 4,294,967,295 (2 32 − 1) for representation as an binary number, and −2,147,483,648 (−2 31) through 2,147,483,647 (2 31 − 1) for representation as two's complement.
A standardized way of writing very large numbers allows them to be easily sorted in increasing order, and one can get a good idea of how much larger a number is than another one. To compare numbers in scientific notation, say 5×10 4 and 2×10 5, compare the exponents first, in this case 5 > 4, so 2×10 5 > 5×10 4.
The amateur mathematician found the new largest prime number dubbed “M136279841”, calculated by multiplying together 136,279,841 twos, and then subtracting 1.
The largest known prime number is 2136,279,841 − 1, a number which has 41,024,320 digits when written in base 10. It was found on October 12, 2024 by a computer volunteered by Luke Durant to the Great Internet Mersenne Prime Search (GIMPS). [1] A 2020 plot of the number of digits in the largest known prime by year, since the electronic computer.
The number of bits needed for the precision and range desired must be chosen to store the fractional and integer parts of a number. For instance, using a 32-bit format, 16 bits may be used for the integer and 16 for the fraction. The eight's bit is followed by the four's bit, then the two's bit, then the one's bit.