What is the 8700th prime number?
The 8700th prime number is 89849. The next prime is 89867 (a gap of 18) and the one before is 89839.
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 8700th one is 89849.
- 2
89849 is prime because no prime up to ā89849 ā 299.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8700th prime is close to 8700 Ć ln(8700) ā 78918, and here it is 89849.
- 4
89849 has no twin: neither 89847 nor 89851 is prime.
Primes around the 8700th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8697 | 89821 | 2 |
| 8698 | 89833 | 12 |
| 8699 | 89839 | 6 |
| 8700 | 89849 | 10 |
| 8701 | 89867 | 18 |
| 8702 | 89891 | 24 |
| 8703 | 89897 | 6 |
Questions
What is the 8700th prime number?
89849.
Which prime number is 89849?
89849 is the 8700th prime number.
What is the sum of the first 8700 primes?
369,758,201.