7949 is a natural number that follows 7948 and precedes 7950. In mathematics, 7949 is a prime number. It is odd and not divisible by 3 or 5; screening divisors up to the square root of 7949 shows no nontrivial factors. Because 7949 ≡ 1 (mod 4), it can be expressed as the sum of two squares: 7949 = 82^2 + 35^2. In common representations, 7949 equals 0x1F0D in hexadecimal, 17415 in octal, and 1111100001101 in binary. As a year, 7949 CE would be a far-future date in the Gregorian calendar, with no widely recorded historical events associated with it at present. In number theory, 7949 stands as an example of a prime of the form 4k+1, a class of primes that have particular properties in relation to Gaussian integers.