What is the 6946th prime number?
The 6946th prime number is 70111. The next prime is 70117 (a gap of 6) and the one before is 70099.
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 6946th one is 70111.
- 2
70111 is prime because no prime up to ā70111 ā 264.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6946th prime is close to 6946 Ć ln(6946) ā 61444, and here it is 70111.
- 4
70111 has no twin: neither 70109 nor 70113 is prime.
Primes around the 6946th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6943 | 70067 | 6 |
| 6944 | 70079 | 12 |
| 6945 | 70099 | 20 |
| 6946 | 70111 | 12 |
| 6947 | 70117 | 6 |
| 6948 | 70121 | 4 |
| 6949 | 70123 | 2 |
Questions
What is the 6946th prime number?
70111.
Which prime number is 70111?
70111 is the 6946th prime number.
What is the sum of the first 6946 primes?
229,660,957.