What is the 2055th prime number?
The 2055th prime number is 17923. The next prime is 17929 (a gap of 6) and the one before is 17921.
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 2055th one is 17923.
- 2
17923 is prime because no prime up to ā17923 ā 133.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2055th prime is close to 2055 Ć ln(2055) ā 15676, and here it is 17923.
- 4
17923 is a twin prime: 17921 and 17923 are both prime.
Primes around the 2055th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2052 | 17909 | 6 |
| 2053 | 17911 | 2 |
| 2054 | 17921 | 10 |
| 2055 | 17923 | 2 |
| 2056 | 17929 | 6 |
| 2057 | 17939 | 10 |
| 2058 | 17957 | 18 |
Questions
What is the 2055th prime number?
17923.
Which prime number is 17923?
17923 is the 2055th prime number.
What is the sum of the first 2055 primes?
17,245,648.