What is the 427th prime number?
The 427th prime number is 2963. The next prime is 2969 (a gap of 6) and the one before is 2957.
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 427th one is 2963.
- 2
2963 is prime because no prime up to ā2963 ā 54.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 427th prime is close to 427 Ć ln(427) ā 2586, and here it is 2963.
- 4
2963 has no twin: neither 2961 nor 2965 is prime.
Primes around the 427th
| Position | Prime | Gap from the previous |
|---|---|---|
| 424 | 2939 | 12 |
| 425 | 2953 | 14 |
| 426 | 2957 | 4 |
| 427 | 2963 | 6 |
| 428 | 2969 | 6 |
| 429 | 2971 | 2 |
| 430 | 2999 | 28 |
Questions
What is the 427th prime number?
2963.
Which prime number is 2963?
2963 is the 427th prime number.
What is the sum of the first 427 primes?
584,884.