What is the 425th prime number?
The 425th prime number is 2953. The next prime is 2957 (a gap of 4) and the one before is 2939.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 425th one is 2953.
- 2
2953 is prime because no prime up to ā2953 ā 54.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 425th prime is close to 425 Ć ln(425) ā 2572, and here it is 2953.
- 4
2953 has no twin: neither 2951 nor 2955 is prime.
Primes around the 425th
| Position | Prime | Gap from the previous |
|---|---|---|
| 422 | 2917 | 8 |
| 423 | 2927 | 10 |
| 424 | 2939 | 12 |
| 425 | 2953 | 14 |
| 426 | 2957 | 4 |
| 427 | 2963 | 6 |
| 428 | 2969 | 6 |
Questions
What is the 425th prime number?
2953.
Which prime number is 2953?
2953 is the 425th prime number.
What is the sum of the first 425 primes?
578,964.