What is the 6230th prime number?
The 6230th prime number is 61981. The next prime is 61987 (a gap of 6) and the one before is 61979.
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 6230th one is 61981.
- 2
61981 is prime because no prime up to ā61981 ā 248.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6230th prime is close to 6230 Ć ln(6230) ā 54432, and here it is 61981.
- 4
61981 is a twin prime: 61979 and 61981 are both prime.
Primes around the 6230th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6227 | 61961 | 12 |
| 6228 | 61967 | 6 |
| 6229 | 61979 | 12 |
| 6230 | 61981 | 2 |
| 6231 | 61987 | 6 |
| 6232 | 61991 | 4 |
| 6233 | 62003 | 12 |
Questions
What is the 6230th prime number?
61981.
Which prime number is 61981?
61981 is the 6230th prime number.
What is the sum of the first 6230 primes?
182,400,131.