What is the 6198th prime number?
The 6198th prime number is 61613. The next prime is 61627 (a gap of 14) and the one before is 61609.
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 6198th one is 61613.
- 2
61613 is prime because no prime up to ā61613 ā 248.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6198th prime is close to 6198 Ć ln(6198) ā 54121, and here it is 61613.
- 4
61613 has no twin: neither 61611 nor 61615 is prime.
Primes around the 6198th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6195 | 61583 | 22 |
| 6196 | 61603 | 20 |
| 6197 | 61609 | 6 |
| 6198 | 61613 | 4 |
| 6199 | 61627 | 14 |
| 6200 | 61631 | 4 |
| 6201 | 61637 | 6 |
Questions
What is the 6198th prime number?
61613.
Which prime number is 61613?
61613 is the 6198th prime number.
What is the sum of the first 6198 primes?
180,422,887.