What is the 6961st prime number?
The 6961st prime number is 70229. The next prime is 70237 (a gap of 8) and the one before is 70223.
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 6961st one is 70229.
- 2
70229 is prime because no prime up to ā70229 ā 265.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6961st prime is close to 6961 Ć ln(6961) ā 61591, and here it is 70229.
- 4
70229 has no twin: neither 70227 nor 70231 is prime.
Primes around the 6961st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6958 | 70201 | 2 |
| 6959 | 70207 | 6 |
| 6960 | 70223 | 16 |
| 6961 | 70229 | 6 |
| 6962 | 70237 | 8 |
| 6963 | 70241 | 4 |
| 6964 | 70249 | 8 |
Questions
What is the 6961st prime number?
70229.
Which prime number is 70229?
70229 is the 6961st prime number.
What is the sum of the first 6961 primes?
230,713,518.