What is the 8755th prime number?
The 8755th prime number is 90407. The next prime is 90437 (a gap of 30) and the one before is 90403.
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 8755th one is 90407.
- 2
90407 is prime because no prime up to ā90407 ā 300.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8755th prime is close to 8755 Ć ln(8755) ā 79472, and here it is 90407.
- 4
90407 has no twin: neither 90405 nor 90409 is prime.
Primes around the 8755th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8752 | 90397 | 18 |
| 8753 | 90401 | 4 |
| 8754 | 90403 | 2 |
| 8755 | 90407 | 4 |
| 8756 | 90437 | 30 |
| 8757 | 90439 | 2 |
| 8758 | 90469 | 30 |
Questions
What is the 8755th prime number?
90407.
Which prime number is 90407?
90407 is the 8755th prime number.
What is the sum of the first 8755 primes?
374,715,442.