What is the 6958th prime number?
The 6958th prime number is 70201. The next prime is 70207 (a gap of 6) and the one before is 70199.
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 6958th one is 70201.
- 2
70201 is prime because no prime up to ā70201 ā 264.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6958th prime is close to 6958 Ć ln(6958) ā 61562, and here it is 70201.
- 4
70201 is a twin prime: 70199 and 70201 are both prime.
Primes around the 6958th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6955 | 70181 | 4 |
| 6956 | 70183 | 2 |
| 6957 | 70199 | 16 |
| 6958 | 70201 | 2 |
| 6959 | 70207 | 6 |
| 6960 | 70223 | 16 |
| 6961 | 70229 | 6 |
Questions
What is the 6958th prime number?
70201.
Which prime number is 70201?
70201 is the 6958th prime number.
What is the sum of the first 6958 primes?
230,502,859.