What is the 6100th prime number?
The 6100th prime number is 60497. The next prime is 60509 (a gap of 12) and the one before is 60493.
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 6100th one is 60497.
- 2
60497 is prime because no prime up to ā60497 ā 245.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6100th prime is close to 6100 Ć ln(6100) ā 53168, and here it is 60497.
- 4
60497 has no twin: neither 60495 nor 60499 is prime.
Primes around the 6100th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6097 | 60449 | 6 |
| 6098 | 60457 | 8 |
| 6099 | 60493 | 36 |
| 6100 | 60497 | 4 |
| 6101 | 60509 | 12 |
| 6102 | 60521 | 12 |
| 6103 | 60527 | 6 |
Questions
What is the 6100th prime number?
60497.
Which prime number is 60497?
60497 is the 6100th prime number.
What is the sum of the first 6100 primes?
174,438,853.