What is the 7025th prime number?
The 7025th prime number is 70949. The next prime is 70951 (a gap of 2) and the one before is 70937.
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 7025th one is 70949.
- 2
70949 is prime because no prime up to ā70949 ā 266.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7025th prime is close to 7025 Ć ln(7025) ā 62222, and here it is 70949.
- 4
70949 is a twin prime: 70949 and 70951 are both prime.
Primes around the 7025th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7022 | 70919 | 6 |
| 7023 | 70921 | 2 |
| 7024 | 70937 | 16 |
| 7025 | 70949 | 12 |
| 7026 | 70951 | 2 |
| 7027 | 70957 | 6 |
| 7028 | 70969 | 12 |
Questions
What is the 7025th prime number?
70949.
Which prime number is 70949?
70949 is the 7025th prime number.
What is the sum of the first 7025 primes?
235,231,606.