What is the 6955th prime number?
The 6955th prime number is 70181. The next prime is 70183 (a gap of 2) and the one before is 70177.
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 6955th one is 70181.
- 2
70181 is prime because no prime up to ā70181 ā 264.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6955th prime is close to 6955 Ć ln(6955) ā 61532, and here it is 70181.
- 4
70181 is a twin prime: 70181 and 70183 are both prime.
Primes around the 6955th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6952 | 70157 | 16 |
| 6953 | 70163 | 6 |
| 6954 | 70177 | 14 |
| 6955 | 70181 | 4 |
| 6956 | 70183 | 2 |
| 6957 | 70199 | 16 |
| 6958 | 70201 | 2 |
Questions
What is the 6955th prime number?
70181.
Which prime number is 70181?
70181 is the 6955th prime number.
What is the sum of the first 6955 primes?
230,292,276.