What is the 6964th prime number?
The 6964th prime number is 70249. The next prime is 70271 (a gap of 22) and the one before is 70241.
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 6964th one is 70249.
- 2
70249 is prime because no prime up to ā70249 ā 265.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6964th prime is close to 6964 Ć ln(6964) ā 61621, and here it is 70249.
- 4
70249 has no twin: neither 70247 nor 70251 is prime.
Primes around the 6964th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6961 | 70229 | 6 |
| 6962 | 70237 | 8 |
| 6963 | 70241 | 4 |
| 6964 | 70249 | 8 |
| 6965 | 70271 | 22 |
| 6966 | 70289 | 18 |
| 6967 | 70297 | 8 |
Questions
What is the 6964th prime number?
70249.
Which prime number is 70249?
70249 is the 6964th prime number.
What is the sum of the first 6964 primes?
230,924,245.