What is the 8551st prime number?
The 8551st prime number is 88093. The next prime is 88117 (a gap of 24) and the one before is 88079.
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 8551st one is 88093.
- 2
88093 is prime because no prime up to ā88093 ā 296.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8551st prime is close to 8551 Ć ln(8551) ā 77419, and here it is 88093.
- 4
88093 has no twin: neither 88091 nor 88095 is prime.
Primes around the 8551st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8548 | 88037 | 18 |
| 8549 | 88069 | 32 |
| 8550 | 88079 | 10 |
| 8551 | 88093 | 14 |
| 8552 | 88117 | 24 |
| 8553 | 88129 | 12 |
| 8554 | 88169 | 40 |
Questions
What is the 8551st prime number?
88093.
Which prime number is 88093?
88093 is the 8551st prime number.
What is the sum of the first 8551 primes?
356,490,382.