What is the 8709th prime number?
The 8709th prime number is 89959. The next prime is 89963 (a gap of 4) and the one before is 89939.
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 8709th one is 89959.
- 2
89959 is prime because no prime up to ā89959 ā 299.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8709th prime is close to 8709 Ć ln(8709) ā 79009, and here it is 89959.
- 4
89959 has no twin: neither 89957 nor 89961 is prime.
Primes around the 8709th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8706 | 89917 | 8 |
| 8707 | 89923 | 6 |
| 8708 | 89939 | 16 |
| 8709 | 89959 | 20 |
| 8710 | 89963 | 4 |
| 8711 | 89977 | 14 |
| 8712 | 89983 | 6 |
Questions
What is the 8709th prime number?
89959.
Which prime number is 89959?
89959 is the 8709th prime number.
What is the sum of the first 8709 primes?
370,567,402.