What is the 7890th prime number?
The 7890th prime number is 80629. The next prime is 80651 (a gap of 22) and the one before is 80627.
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 7890th one is 80629.
- 2
80629 is prime because no prime up to ā80629 ā 283.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7890th prime is close to 7890 Ć ln(7890) ā 70800, and here it is 80629.
- 4
80629 is a twin prime: 80627 and 80629 are both prime.
Primes around the 7890th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7887 | 80611 | 8 |
| 7888 | 80621 | 10 |
| 7889 | 80627 | 6 |
| 7890 | 80629 | 2 |
| 7891 | 80651 | 22 |
| 7892 | 80657 | 6 |
| 7893 | 80669 | 12 |
Questions
What is the 7890th prime number?
80629.
Which prime number is 80629?
80629 is the 7890th prime number.
What is the sum of the first 7890 primes?
300,745,485.