What is the 6199th prime number?
The 6199th prime number is 61627. The next prime is 61631 (a gap of 4) and the one before is 61613.
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 6199th one is 61627.
- 2
61627 is prime because no prime up to ā61627 ā 248.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6199th prime is close to 6199 Ć ln(6199) ā 54131, and here it is 61627.
- 4
61627 has no twin: neither 61625 nor 61629 is prime.
Primes around the 6199th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6196 | 61603 | 20 |
| 6197 | 61609 | 6 |
| 6198 | 61613 | 4 |
| 6199 | 61627 | 14 |
| 6200 | 61631 | 4 |
| 6201 | 61637 | 6 |
| 6202 | 61643 | 6 |
Questions
What is the 6199th prime number?
61627.
Which prime number is 61627?
61627 is the 6199th prime number.
What is the sum of the first 6199 primes?
180,484,514.