What is the 7926th prime number?
The 7926th prime number is 81001. The next prime is 81013 (a gap of 12) and the one before is 80989.
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 7926th one is 81001.
- 2
81001 is prime because no prime up to ā81001 ā 284.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7926th prime is close to 7926 Ć ln(7926) ā 71159, and here it is 81001.
- 4
81001 has no twin: neither 80999 nor 81003 is prime.
Primes around the 7926th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7923 | 80953 | 20 |
| 7924 | 80963 | 10 |
| 7925 | 80989 | 26 |
| 7926 | 81001 | 12 |
| 7927 | 81013 | 12 |
| 7928 | 81017 | 4 |
| 7929 | 81019 | 2 |
Questions
What is the 7926th prime number?
81001.
Which prime number is 81001?
81001 is the 7926th prime number.
What is the sum of the first 7926 primes?
303,654,529.