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In [[mathematics]], an '''integer sequence prime''' is a [[prime number]] found as a member of an [[integer sequence]]. For example, the 8th [[Delannoy number]], 265729, is prime. A challenge in empirical mathematics is to identify large prime values in rapidly growing sequences.
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A common subclass of integer sequence primes are '''constant primes''', formed by taking a constant [[real number]] and considering prefixes of its [[decimal]] representation, omitting the decimal point. For example, the first 6 decimal digits of the constant ''[]]'', approximately 3.14159265, form the prime number 314159, which is therefore known as a '''pi-prime'''. Similarly, a constant prime based on ''[[e (mathematical constant)|e]]'' is called an '''e-prime'''.
 
Other examples of integer sequence primes include:
* [[Cullen prime]] &ndash; a prime that appears in the sequence of Cullen numbers <math>a_n=n2^n+1\, .</math>
* [[Factorial prime]] &ndash; a prime that appears in either of the sequences <math>a_n=n!-1</math> or <math>b_n=n!+1\, .</math>
* [[Fermat prime]] &ndash; a prime that appears in the sequence of Fermat numbers <math>a_n=2^{2^n}+1\, .</math>
* [[Fibonacci prime]] &ndash; a prime that appears in the sequence of [[Fibonacci number]]s.
* [[Lucas prime]] &ndash; a prime that appears in the [[Lucas number]]s.
* [[Mersenne prime]] &ndash; a prime that appears in the sequence of Mersenne numbers <math>a_n=2^n-1\, .</math>
* [[Primorial prime]] &ndash; a prime that appears in either of the sequences <math>a_n=n\#-1</math> or <math>b_n=n\#+1\, .</math>
* [[Pythagorean prime]] &ndash; a prime that appears in the sequence <math>a_n=4n+1\, .</math>
* [[Woodall prime]] &ndash; a prime that appears in the sequence of Woodall numbers <math>a_n=n2^n-1\, .</math>
 
The [[On-Line Encyclopedia of Integer Sequences]] includes many sequences corresponding to the prime subsequences of well-known sequences, for example [[OEIS:A001605|A001605]] for [[Fibonacci number]]s that are prime.
 
== References ==
 
* {{MathWorld | urlname=IntegerSequencePrimes | title=Integer Sequence Primes}}
* {{MathWorld | urlname=ConstantPrimes | title=Constant Primes}}
* {{MathWorld | urlname=Pi-Prime | title=Pi-Prime}}
* {{MathWorld | urlname=e-Prime | title=e-Prime}}
 
[[Category:Classes of prime numbers]]
 
 
{{Numtheory-stub}}

Latest revision as of 23:15, 28 November 2014

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At 3.75 ounces, the Spyderco Para-Navy 2 makes an incredible every day carry knife in addition to a normal use knife, and it does this due to the nice balance between weight, robustness and performance. The tip on the blade is somewhat bit skinny for me to suggest it as a survival knife, but it should easily face up to any tenting trip or every day carry operate you'll be able to consider. I've not usual a lanyard pull for the Back Pocket but, mostly as a result of it doesn’t swim around in a pocket. It’s comfy to carry, however its size makes the knife fast and straightforward to pluck.

The classic working knife on a funds is the Opinel Mannequin 7 in Carbon Steel This is the blade carried by numerous backpackers into the woods through the years. Opinel is a French firm that has been making these model knives, with few design modifications, for around 120 years. There are a number of fashions, with the largest difference being the size Www.Thebestpocketknifereviews.Com. The smaller ones, with the lower mannequin numbers, are simply folding knives. The upper numbers, starting with Mannequin 7, incorporate the locking collar. When you’ve owned a survival knife before, then likelihood is that there have been times whenever you’ve been in want of a superb survival knife sharpener.

Ka-Bar Mule Subject Folder Knife - Wow, we simply can not believe this knife is underneath $50.00. This definitely deserves to be considered top-of-the-line folding knives for the price. You may put this knife as much as any take a look at, and it'll cross your expectations by far. This knife weighs rather Best Tactical Pocket Knives less than half of a pound – which is an efficient factor as a result of this knife will last you awhile! The KA-BAR mule knife is ideal for any labor task, and great for being within the wilderness. The opening and closing method of this knife will ensure you don’t have any accidental closures in your finger.

This is a great EDC knife. It appears to be like good, is made up of high quality materials, and is crafted with sensible useful features. It is expensive enough that Spyderco can afford to invest in making a lasting product, nevertheless it's not so expensive that I'm afraid to make use of the factor. Personal Creations is a one-stop shop for distinctive and personalized gifts, from simple to mad to sentimental. Private Creations affords birthday items, wedding items and anniversary gifts for celebrating these essential, romantic days. These merchandise are customizable, to provide a considerate present that comes straight from the heart. I acquired a personalised pocket knife and beach towel for this assessment.

The main goal behind getting the EAB was blade economy. My blade philosophy is to always save my major blade for final. I suck at sharpening and don’t want to further ruin a blade in an emergency rubbing on a stone. So this offers me a very tiny blade to do small on a regular basis tasks. I’ve carried this to work along with my Kershaw skyline earlier than using the EAB to open containers, cut cardboard and any other cutting tasks and save the Skyline for emergencies or self-protection. Within the position of extra EDC it excels. I'd not select this to be my predominant and only carry choice nonetheless.

Like all their lockbacks, the Native deploys one handed in a steady motion. It doesn't "flick" like its Chinese language cousins such as the Tenacious The "spydie hole" is a bit of bit inset on the Native, which is okay, but takes a bit of getting used to. The Native has a choil so you possibly can choke up on it if you need to. I am not a giant fan of it, however if you are, it's there for you. A decorative thumb stud for one-hand opening and matching bolt heads add to the knife’s aesthetic. Benchmade’s blade-locking mechanism, which is actuated by a svelte little ornamental knob, felt safe and safe.