What is the 7903rd prime number?
The 7903rd prime number is 80749. The next prime is 80761 (a gap of 12) and the one before is 80747.
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 7903rd one is 80749.
- 2
80749 is prime because no prime up to ā80749 ā 284.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7903rd prime is close to 7903 Ć ln(7903) ā 70929, and here it is 80749.
- 4
80749 is a twin prime: 80747 and 80749 are both prime.
Primes around the 7903rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7900 | 80713 | 12 |
| 7901 | 80737 | 24 |
| 7902 | 80747 | 10 |
| 7903 | 80749 | 2 |
| 7904 | 80761 | 12 |
| 7905 | 80777 | 16 |
| 7906 | 80779 | 2 |
Questions
What is the 7903rd prime number?
80749.
Which prime number is 80749?
80749 is the 7903rd prime number.
What is the sum of the first 7903 primes?
301,794,508.