What is the 5600th prime number?
The 5600th prime number is 55103. The next prime is 55109 (a gap of 6) and the one before is 55079.
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 5600th one is 55103.
- 2
55103 is prime because no prime up to ā55103 ā 234.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5600th prime is close to 5600 Ć ln(5600) ā 48331, and here it is 55103.
- 4
55103 has no twin: neither 55101 nor 55105 is prime.
Primes around the 5600th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5597 | 55061 | 4 |
| 5598 | 55073 | 12 |
| 5599 | 55079 | 6 |
| 5600 | 55103 | 24 |
| 5601 | 55109 | 6 |
| 5602 | 55117 | 8 |
| 5603 | 55127 | 10 |
Questions
What is the 5600th prime number?
55103.
Which prime number is 55103?
55103 is the 5600th prime number.
What is the sum of the first 5600 primes?
145,554,599.