What is the 7902nd prime number?
The 7902nd prime number is 80747. The next prime is 80749 (a gap of 2) and the one before is 80737.
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 7902nd one is 80747.
- 2
80747 is prime because no prime up to ā80747 ā 284.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7902nd prime is close to 7902 Ć ln(7902) ā 70919, and here it is 80747.
- 4
80747 is a twin prime: 80747 and 80749 are both prime.
Primes around the 7902nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7899 | 80701 | 14 |
| 7900 | 80713 | 12 |
| 7901 | 80737 | 24 |
| 7902 | 80747 | 10 |
| 7903 | 80749 | 2 |
| 7904 | 80761 | 12 |
| 7905 | 80777 | 16 |
Questions
What is the 7902nd prime number?
80747.
Which prime number is 80747?
80747 is the 7902nd prime number.
What is the sum of the first 7902 primes?
301,713,759.