What is the 6229th prime number?
The 6229th prime number is 61979. The next prime is 61981 (a gap of 2) and the one before is 61967.
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 6229th one is 61979.
- 2
61979 is prime because no prime up to ā61979 ā 248.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6229th prime is close to 6229 Ć ln(6229) ā 54423, and here it is 61979.
- 4
61979 is a twin prime: 61979 and 61981 are both prime.
Primes around the 6229th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6226 | 61949 | 16 |
| 6227 | 61961 | 12 |
| 6228 | 61967 | 6 |
| 6229 | 61979 | 12 |
| 6230 | 61981 | 2 |
| 6231 | 61987 | 6 |
| 6232 | 61991 | 4 |
Questions
What is the 6229th prime number?
61979.
Which prime number is 61979?
61979 is the 6229th prime number.
What is the sum of the first 6229 primes?
182,338,150.