What is the 6948th prime number?
The 6948th prime number is 70121. The next prime is 70123 (a gap of 2) and the one before is 70117.
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 6948th one is 70121.
- 2
70121 is prime because no prime up to ā70121 ā 264.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6948th prime is close to 6948 Ć ln(6948) ā 61463, and here it is 70121.
- 4
70121 is a twin prime: 70121 and 70123 are both prime.
Primes around the 6948th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6945 | 70099 | 20 |
| 6946 | 70111 | 12 |
| 6947 | 70117 | 6 |
| 6948 | 70121 | 4 |
| 6949 | 70123 | 2 |
| 6950 | 70139 | 16 |
| 6951 | 70141 | 2 |
Questions
What is the 6948th prime number?
70121.
Which prime number is 70121?
70121 is the 6948th prime number.
What is the sum of the first 6948 primes?
229,801,195.