What is the 7492nd prime number?
The 7492nd prime number is 76099. The next prime is 76103 (a gap of 4) and the one before is 76091.
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 7492nd one is 76099.
- 2
76099 is prime because no prime up to ā76099 ā 275.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7492nd prime is close to 7492 Ć ln(7492) ā 66841, and here it is 76099.
- 4
76099 has no twin: neither 76097 nor 76101 is prime.
Primes around the 7492nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7489 | 76079 | 40 |
| 7490 | 76081 | 2 |
| 7491 | 76091 | 10 |
| 7492 | 76099 | 8 |
| 7493 | 76103 | 4 |
| 7494 | 76123 | 20 |
| 7495 | 76129 | 6 |
Questions
What is the 7492nd prime number?
76099.
Which prime number is 76099?
76099 is the 7492nd prime number.
What is the sum of the first 7492 primes?
269,553,485.