What is the 9976th prime number?
The 9976th prime number is 104491. The next prime is 104513 (a gap of 22) and the one before is 104479.
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 9976th one is 104491.
- 2
104491 is prime because no prime up to ā104491 ā 323.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9976th prime is close to 9976 Ć ln(9976) ā 91858, and here it is 104491.
- 4
104491 has no twin: neither 104489 nor 104493 is prime.
Primes around the 9976th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9973 | 104471 | 12 |
| 9974 | 104473 | 2 |
| 9975 | 104479 | 6 |
| 9976 | 104491 | 12 |
| 9977 | 104513 | 22 |
| 9978 | 104527 | 14 |
| 9979 | 104537 | 10 |
Questions
What is the 9976th prime number?
104491.
Which prime number is 104491?
104491 is the 9976th prime number.
What is the sum of the first 9976 primes?
493,654,267.