What is the 7027th prime number?
The 7027th prime number is 70957. The next prime is 70969 (a gap of 12) and the one before is 70951.
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 7027th one is 70957.
- 2
70957 is prime because no prime up to ā70957 ā 266.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7027th prime is close to 7027 Ć ln(7027) ā 62242, and here it is 70957.
- 4
70957 has no twin: neither 70955 nor 70959 is prime.
Primes around the 7027th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7024 | 70937 | 16 |
| 7025 | 70949 | 12 |
| 7026 | 70951 | 2 |
| 7027 | 70957 | 6 |
| 7028 | 70969 | 12 |
| 7029 | 70979 | 10 |
| 7030 | 70981 | 2 |
Questions
What is the 7027th prime number?
70957.
Which prime number is 70957?
70957 is the 7027th prime number.
What is the sum of the first 7027 primes?
235,373,514.