What is the 6197th prime number?
The 6197th prime number is 61609. The next prime is 61613 (a gap of 4) and the one before is 61603.
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 6197th one is 61609.
- 2
61609 is prime because no prime up to ā61609 ā 248.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6197th prime is close to 6197 Ć ln(6197) ā 54111, and here it is 61609.
- 4
61609 has no twin: neither 61607 nor 61611 is prime.
Primes around the 6197th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6194 | 61561 | 2 |
| 6195 | 61583 | 22 |
| 6196 | 61603 | 20 |
| 6197 | 61609 | 6 |
| 6198 | 61613 | 4 |
| 6199 | 61627 | 14 |
| 6200 | 61631 | 4 |
Questions
What is the 6197th prime number?
61609.
Which prime number is 61609?
61609 is the 6197th prime number.
What is the sum of the first 6197 primes?
180,361,274.