What is the 70th prime number?
The 70th prime number is 349. The next prime is 353 (a gap of 4) and the one before is 347.
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 70th one is 349.
- 2
349 is prime because no prime up to ā349 ā 18.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 70th prime is close to 70 Ć ln(70) ā 297, and here it is 349.
- 4
349 is a twin prime: 347 and 349 are both prime.
Primes around the 70th
| Position | Prime | Gap from the previous |
|---|---|---|
| 67 | 331 | 14 |
| 68 | 337 | 6 |
| 69 | 347 | 10 |
| 70 | 349 | 2 |
| 71 | 353 | 4 |
| 72 | 359 | 6 |
| 73 | 367 | 8 |
Questions
What is the 70th prime number?
349.
Which prime number is 349?
349 is the 70th prime number.
What is the sum of the first 70 primes?
10,887.