What is the 6231st prime number?
The 6231st prime number is 61987. The next prime is 61991 (a gap of 4) and the one before is 61981.
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 6231st one is 61987.
- 2
61987 is prime because no prime up to ā61987 ā 248.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6231st prime is close to 6231 Ć ln(6231) ā 54442, and here it is 61987.
- 4
61987 has no twin: neither 61985 nor 61989 is prime.
Primes around the 6231st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6228 | 61967 | 6 |
| 6229 | 61979 | 12 |
| 6230 | 61981 | 2 |
| 6231 | 61987 | 6 |
| 6232 | 61991 | 4 |
| 6233 | 62003 | 12 |
| 6234 | 62011 | 8 |
Questions
What is the 6231st prime number?
61987.
Which prime number is 61987?
61987 is the 6231st prime number.
What is the sum of the first 6231 primes?
182,462,118.