What is the 6947th prime number?
The 6947th prime number is 70117. The next prime is 70121 (a gap of 4) and the one before is 70111.
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 6947th one is 70117.
- 2
70117 is prime because no prime up to ā70117 ā 264.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6947th prime is close to 6947 Ć ln(6947) ā 61454, and here it is 70117.
- 4
70117 has no twin: neither 70115 nor 70119 is prime.
Primes around the 6947th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6944 | 70079 | 12 |
| 6945 | 70099 | 20 |
| 6946 | 70111 | 12 |
| 6947 | 70117 | 6 |
| 6948 | 70121 | 4 |
| 6949 | 70123 | 2 |
| 6950 | 70139 | 16 |
Questions
What is the 6947th prime number?
70117.
Which prime number is 70117?
70117 is the 6947th prime number.
What is the sum of the first 6947 primes?
229,731,074.