What is the 6092nd prime number?
The 6092nd prime number is 60383. The next prime is 60397 (a gap of 14) and the one before is 60373.
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 6092nd one is 60383.
- 2
60383 is prime because no prime up to ā60383 ā 245.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6092nd prime is close to 6092 Ć ln(6092) ā 53090, and here it is 60383.
- 4
60383 has no twin: neither 60381 nor 60385 is prime.
Primes around the 6092nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6089 | 60343 | 6 |
| 6090 | 60353 | 10 |
| 6091 | 60373 | 20 |
| 6092 | 60383 | 10 |
| 6093 | 60397 | 14 |
| 6094 | 60413 | 16 |
| 6095 | 60427 | 14 |
Questions
What is the 6092nd prime number?
60383.
Which prime number is 60383?
60383 is the 6092nd prime number.
What is the sum of the first 6092 primes?
173,955,277.