What is the 9941st prime number?
The 9941st prime number is 104087. The next prime is 104089 (a gap of 2) and the one before is 104059.
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 9941st one is 104087.
- 2
104087 is prime because no prime up to ā104087 ā 322.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9941st prime is close to 9941 Ć ln(9941) ā 91501, and here it is 104087.
- 4
104087 is a twin prime: 104087 and 104089 are both prime.
Primes around the 9941st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9938 | 104047 | 14 |
| 9939 | 104053 | 6 |
| 9940 | 104059 | 6 |
| 9941 | 104087 | 28 |
| 9942 | 104089 | 2 |
| 9943 | 104107 | 18 |
| 9944 | 104113 | 6 |
Questions
What is the 9941st prime number?
104087.
Which prime number is 104087?
104087 is the 9941st prime number.
What is the sum of the first 9941 primes?
490,004,374.