What is the 6960th prime number?
The 6960th prime number is 70223. The next prime is 70229 (a gap of 6) and the one before is 70207.
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 6960th one is 70223.
- 2
70223 is prime because no prime up to ā70223 ā 265.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6960th prime is close to 6960 Ć ln(6960) ā 61582, and here it is 70223.
- 4
70223 has no twin: neither 70221 nor 70225 is prime.
Primes around the 6960th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6957 | 70199 | 16 |
| 6958 | 70201 | 2 |
| 6959 | 70207 | 6 |
| 6960 | 70223 | 16 |
| 6961 | 70229 | 6 |
| 6962 | 70237 | 8 |
| 6963 | 70241 | 4 |
Questions
What is the 6960th prime number?
70223.
Which prime number is 70223?
70223 is the 6960th prime number.
What is the sum of the first 6960 primes?
230,643,289.