What is the 1078th prime number?
The 1078th prime number is 8663. The next prime is 8669 (a gap of 6) and the one before is 8647.
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 1078th one is 8663.
- 2
8663 is prime because no prime up to ā8663 ā 93.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1078th prime is close to 1078 Ć ln(1078) ā 7528, and here it is 8663.
- 4
8663 has no twin: neither 8661 nor 8665 is prime.
Primes around the 1078th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1075 | 8629 | 2 |
| 1076 | 8641 | 12 |
| 1077 | 8647 | 6 |
| 1078 | 8663 | 16 |
| 1079 | 8669 | 6 |
| 1080 | 8677 | 8 |
| 1081 | 8681 | 4 |
Questions
What is the 1078th prime number?
8663.
Which prime number is 8663?
8663 is the 1078th prime number.
What is the sum of the first 1078 primes?
4,329,955.