What is the 6101st prime number?
The 6101st prime number is 60509. The next prime is 60521 (a gap of 12) and the one before is 60497.
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 6101st one is 60509.
- 2
60509 is prime because no prime up to ā60509 ā 245.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6101st prime is close to 6101 Ć ln(6101) ā 53178, and here it is 60509.
- 4
60509 has no twin: neither 60507 nor 60511 is prime.
Primes around the 6101st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6098 | 60457 | 8 |
| 6099 | 60493 | 36 |
| 6100 | 60497 | 4 |
| 6101 | 60509 | 12 |
| 6102 | 60521 | 12 |
| 6103 | 60527 | 6 |
| 6104 | 60539 | 12 |
Questions
What is the 6101st prime number?
60509.
Which prime number is 60509?
60509 is the 6101st prime number.
What is the sum of the first 6101 primes?
174,499,362.