What is the 8552nd prime number?
The 8552nd prime number is 88117. The next prime is 88129 (a gap of 12) and the one before is 88093.
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 8552nd one is 88117.
- 2
88117 is prime because no prime up to ā88117 ā 296.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8552nd prime is close to 8552 Ć ln(8552) ā 77429, and here it is 88117.
- 4
88117 has no twin: neither 88115 nor 88119 is prime.
Primes around the 8552nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8549 | 88069 | 32 |
| 8550 | 88079 | 10 |
| 8551 | 88093 | 14 |
| 8552 | 88117 | 24 |
| 8553 | 88129 | 12 |
| 8554 | 88169 | 40 |
| 8555 | 88177 | 8 |
Questions
What is the 8552nd prime number?
88117.
Which prime number is 88117?
88117 is the 8552nd prime number.
What is the sum of the first 8552 primes?
356,578,499.