What is the 8618th prime number?
The 8618th prime number is 88993. The next prime is 88997 (a gap of 4) and the one before is 88969.
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 8618th one is 88993.
- 2
88993 is prime because no prime up to ā88993 ā 298.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8618th prime is close to 8618 Ć ln(8618) ā 78093, and here it is 88993.
- 4
88993 has no twin: neither 88991 nor 88995 is prime.
Primes around the 8618th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8615 | 88937 | 18 |
| 8616 | 88951 | 14 |
| 8617 | 88969 | 18 |
| 8618 | 88993 | 24 |
| 8619 | 88997 | 4 |
| 8620 | 89003 | 6 |
| 8621 | 89009 | 6 |
Questions
What is the 8618th prime number?
88993.
Which prime number is 88993?
88993 is the 8618th prime number.
What is the sum of the first 8618 primes?
362,426,061.