What is the 71st prime number?
The 71st prime number is 353. The next prime is 359 (a gap of 6) and the one before is 349.
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 71st one is 353.
- 2
353 is prime because no prime up to ā353 ā 18.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 71st prime is close to 71 Ć ln(71) ā 303, and here it is 353.
- 4
353 has no twin: neither 351 nor 355 is prime.
Primes around the 71st
| Position | Prime | Gap from the previous |
|---|---|---|
| 68 | 337 | 6 |
| 69 | 347 | 10 |
| 70 | 349 | 2 |
| 71 | 353 | 4 |
| 72 | 359 | 6 |
| 73 | 367 | 8 |
| 74 | 373 | 6 |
Questions
What is the 71st prime number?
353.
Which prime number is 353?
353 is the 71st prime number.
What is the sum of the first 71 primes?
11,240.