What is the 978th prime number?
The 978th prime number is 7703. The next prime is 7717 (a gap of 14) and the one before is 7699.
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 978th one is 7703.
- 2
7703 is prime because no prime up to ā7703 ā 87.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 978th prime is close to 978 Ć ln(978) ā 6734, and here it is 7703.
- 4
7703 has no twin: neither 7701 nor 7705 is prime.
Primes around the 978th
| Position | Prime | Gap from the previous |
|---|---|---|
| 975 | 7687 | 6 |
| 976 | 7691 | 4 |
| 977 | 7699 | 8 |
| 978 | 7703 | 4 |
| 979 | 7717 | 14 |
| 980 | 7723 | 6 |
| 981 | 7727 | 4 |
Questions
What is the 978th prime number?
7703.
Which prime number is 7703?
7703 is the 978th prime number.
What is the sum of the first 978 primes?
3,510,885.