What is the 7055th prime number?
The 7055th prime number is 71261. The next prime is 71263 (a gap of 2) and the one before is 71257.
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 7055th one is 71261.
- 2
71261 is prime because no prime up to ā71261 ā 266.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7055th prime is close to 7055 Ć ln(7055) ā 62518, and here it is 71261.
- 4
71261 is a twin prime: 71261 and 71263 are both prime.
Primes around the 7055th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7052 | 71237 | 4 |
| 7053 | 71249 | 12 |
| 7054 | 71257 | 8 |
| 7055 | 71261 | 4 |
| 7056 | 71263 | 2 |
| 7057 | 71287 | 24 |
| 7058 | 71293 | 6 |
Questions
What is the 7055th prime number?
71261.
Which prime number is 71261?
71261 is the 7055th prime number.
What is the sum of the first 7055 primes?
237,364,628.