What is the 8801st prime number?
The 8801st prime number is 90989. The next prime is 90997 (a gap of 8) and the one before is 90977.
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 8801st one is 90989.
- 2
90989 is prime because no prime up to ā90989 ā 301.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8801st prime is close to 8801 Ć ln(8801) ā 79936, and here it is 90989.
- 4
90989 has no twin: neither 90987 nor 90991 is prime.
Primes around the 8801st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8798 | 90947 | 16 |
| 8799 | 90971 | 24 |
| 8800 | 90977 | 6 |
| 8801 | 90989 | 12 |
| 8802 | 90997 | 8 |
| 8803 | 91009 | 12 |
| 8804 | 91019 | 10 |
Questions
What is the 8801st prime number?
90989.
Which prime number is 90989?
90989 is the 8801st prime number.
What is the sum of the first 8801 primes?
378,888,100.