What is the 5037th prime number?
The 5037th prime number is 49009. The next prime is 49019 (a gap of 10) and the one before is 49003.
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 5037th one is 49009.
- 2
49009 is prime because no prime up to ā49009 ā 221.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5037th prime is close to 5037 Ć ln(5037) ā 42938, and here it is 49009.
- 4
49009 has no twin: neither 49007 nor 49011 is prime.
Primes around the 5037th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5034 | 48989 | 16 |
| 5035 | 48991 | 2 |
| 5036 | 49003 | 12 |
| 5037 | 49009 | 6 |
| 5038 | 49019 | 10 |
| 5039 | 49031 | 12 |
| 5040 | 49033 | 2 |
Questions
What is the 5037th prime number?
49009.
Which prime number is 49009?
49009 is the 5037th prime number.
What is the sum of the first 5037 primes?
116,261,250.