What is the 2056th prime number?
The 2056th prime number is 17929. The next prime is 17939 (a gap of 10) and the one before is 17923.
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 2056th one is 17929.
- 2
17929 is prime because no prime up to ā17929 ā 133.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2056th prime is close to 2056 Ć ln(2056) ā 15684, and here it is 17929.
- 4
17929 has no twin: neither 17927 nor 17931 is prime.
Primes around the 2056th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2053 | 17911 | 2 |
| 2054 | 17921 | 10 |
| 2055 | 17923 | 2 |
| 2056 | 17929 | 6 |
| 2057 | 17939 | 10 |
| 2058 | 17957 | 18 |
| 2059 | 17959 | 2 |
Questions
What is the 2056th prime number?
17929.
Which prime number is 17929?
17929 is the 2056th prime number.
What is the sum of the first 2056 primes?
17,263,577.