241 is a 3-digit prime number. 241 has 2 factors, 1 and 241. It is the 53rd prime number, and the seventh prime number from 201-300.
Proofs[]
— 241 is divisible by 1.
— 241 is not divisible by 2-240.
- — 241 is divisible by 241.
Therefore, 241 is a prime number.
As an Exponent of Mersenne Number[]
2241 - 1 is divisible by 22,000,409 and 134,000,609, and is therefore not a prime number.
Relationship with other odd numbers[]
The numbers before[]
- 233 is the second previous prime number.
- 235 is a composite number. Its prime factorization is 5 × 47.
- 237 is a composite number. Its prime factorization is 3 × 79.
- 239 is the previous prime number.
- The difference between 241 and 239 is 2. Therefore, they are twin primes.
The numbers after[]
- 243 is a composite number. It is the fifth power of 3, equal to 35.
- 245 is a composite number. Its prime factorization is 5 × 72.
- 247 is a composite number. Its prime factorization is 13 × 19.
- 249 is a composite number. Its prime factorization is 3 × 83.
- 251 is the prime number following 241.
- 253 is a composite number. Its prime factorization is 11 × 23.
- 257 is the prime number following 251.
Trivia[]
- Since 241 is equal to 15 × 24 + 1, it is a Proth prime, a prime number of the form k × 2n + 1 (where k and n are positive integers).
- 241 is a repunit in base 15 (11115).