What is the 8800th prime number?
The 8800th prime number is 90977. The next prime is 90989 (a gap of 12) and the one before is 90971.
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 8800th one is 90977.
- 2
90977 is prime because no prime up to ā90977 ā 301.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8800th prime is close to 8800 Ć ln(8800) ā 79926, and here it is 90977.
- 4
90977 has no twin: neither 90975 nor 90979 is prime.
Primes around the 8800th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8797 | 90931 | 14 |
| 8798 | 90947 | 16 |
| 8799 | 90971 | 24 |
| 8800 | 90977 | 6 |
| 8801 | 90989 | 12 |
| 8802 | 90997 | 8 |
| 8803 | 91009 | 12 |
Questions
What is the 8800th prime number?
90977.
Which prime number is 90977?
90977 is the 8800th prime number.
What is the sum of the first 8800 primes?
378,797,111.