What is the 6962nd prime number?
The 6962nd prime number is 70237. The next prime is 70241 (a gap of 4) and the one before is 70229.
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 6962nd one is 70237.
- 2
70237 is prime because no prime up to ā70237 ā 265.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6962nd prime is close to 6962 Ć ln(6962) ā 61601, and here it is 70237.
- 4
70237 has no twin: neither 70235 nor 70239 is prime.
Primes around the 6962nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6959 | 70207 | 6 |
| 6960 | 70223 | 16 |
| 6961 | 70229 | 6 |
| 6962 | 70237 | 8 |
| 6963 | 70241 | 4 |
| 6964 | 70249 | 8 |
| 6965 | 70271 | 22 |
Questions
What is the 6962nd prime number?
70237.
Which prime number is 70237?
70237 is the 6962nd prime number.
What is the sum of the first 6962 primes?
230,783,755.