What is the 8553rd prime number?
The 8553rd prime number is 88129. The next prime is 88169 (a gap of 40) and the one before is 88117.
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 8553rd one is 88129.
- 2
88129 is prime because no prime up to ā88129 ā 296.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8553rd prime is close to 8553 Ć ln(8553) ā 77439, and here it is 88129.
- 4
88129 has no twin: neither 88127 nor 88131 is prime.
Primes around the 8553rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8550 | 88079 | 10 |
| 8551 | 88093 | 14 |
| 8552 | 88117 | 24 |
| 8553 | 88129 | 12 |
| 8554 | 88169 | 40 |
| 8555 | 88177 | 8 |
| 8556 | 88211 | 34 |
Questions
What is the 8553rd prime number?
88129.
Which prime number is 88129?
88129 is the 8553rd prime number.
What is the sum of the first 8553 primes?
356,666,628.