What is the 7921st prime number?
The 7921st prime number is 80929. The next prime is 80933 (a gap of 4) and the one before is 80923.
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 7921st one is 80929.
- 2
80929 is prime because no prime up to ā80929 ā 284.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7921st prime is close to 7921 Ć ln(7921) ā 71109, and here it is 80929.
- 4
80929 has no twin: neither 80927 nor 80931 is prime.
Primes around the 7921st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7918 | 80911 | 2 |
| 7919 | 80917 | 6 |
| 7920 | 80923 | 6 |
| 7921 | 80929 | 6 |
| 7922 | 80933 | 4 |
| 7923 | 80953 | 20 |
| 7924 | 80963 | 10 |
Questions
What is the 7921st prime number?
80929.
Which prime number is 80929?
80929 is the 7921st prime number.
What is the sum of the first 7921 primes?
303,249,690.