31 (thirty-one) is the natural number following 30 and preceding 32.
Thirty-one is the third Mersenne prime ( 25 - 1 ) as well as the fourth primorial prime, and together with twenty-nine, another primorial prime, it comprises a twin prime. As a Mersenne prime, 31 is related to the perfect number 496, since 496 = 25 - 1 ( 25 - 1). 31 is the eighth Mersenne prime exponent. 31 is also the 4th lucky prime and the 11th supersingular prime.
31 is a centered triangular number, a centered pentagonal number and centered decagonal number.
For the Steiner tree problem, 31 is the number of possible Steiner topologies for Steiner trees with 4 terminals.
At 31, the Mertens function sets a new low of -4, a value which is not subceded until 110.
No integer added up to its base 10 digits results in 31, making 31 a self number.
31 is a repdigit in base 5 (111), and base 2 (11111).
The numbers 31, 331, 3331, 33331, 333331, 3333331, and 33333331 are all prime. For a time it was thought that every number of the form 3w1 would be prime. However, the next nine numbers of the sequence are composite; their factorisations are:
A number is a mathematical object used to count and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational numbers, irrational numbers, and complex numbers.
Mathematical operations are certain procedures that take one or more numbers as input and produce a number as output. Unary operations take a single input number and produce a single output number. For example, the successor operation adds one to an integer, thus the successor of 4 is 5. Binary operations take two input numbers and produce a single output number. Examples of binary operations include addition, subtraction, multiplication, division, and exponentiation. The study of numerical operations is called arithmetic.
A notational symbol that represents a number is called a numeral. In addition to their use in counting and measuring, numerals are often used for labels (telephone numbers), for ordering (serial numbers), and for codes (e.g., ISBNs).
Paul Jackson Pollock (January 28, 1912 – August 11, 1956), known as Jackson Pollock, was an influential American painter and a major figure in the abstract expressionist movement. He was well known for his uniquely defined style of drip painting.
During his lifetime, Pollock enjoyed considerable fame and notoriety. He was regarded as a mostly reclusive artist. He had a volatile personality, and struggled with alcoholism for most of his life. In 1945, he married the artist Lee Krasner, who became an important influence on his career and on his legacy.
Pollock died at the age of 44 in an alcohol-related car accident. In December 1956, the year of his death, he was given a memorial retrospective exhibition at the Museum of Modern Art (MoMA) in New York City, and a larger more comprehensive exhibition there in 1967. More recently, in 1998 and 1999, his work was honored with large-scale retrospective exhibitions at MoMA and at The Tate in London.
In 2000, Pollock was the subject of an Academy Award–winning film Pollock directed by and starring Ed Harris.
Herbert Clark Hoover (August 10, 1874 – October 20, 1964) was the 31st President of the United States (1929–1933). Hoover was originally a professional mining engineer and author. As the United States Secretary of Commerce in the 1920s under Presidents Warren Harding and Calvin Coolidge, he promoted partnerships between government and business under the rubric "economic modernization". In the presidential election of 1928, Hoover easily won the Republican nomination, despite having no previous elected-office experience. Hoover is the most recent cabinet secretary to be elected President of the United States, as well as one of only two Presidents (along with William Howard Taft) to have been elected without previous electoral experience or high military rank. America was prosperous and optimistic at the time, leading to a landslide victory for Hoover over Democrat Al Smith.
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Jan 31. Talk 5. On sets free from solutions of linear equations in finite Abelian groups
I got a number in my pocket
Keep it in my wallet, right on my hip
When my paycheck's steady, I'm damn good and ready
I toll it up to my lip, and I go to the moon
I got my foot down on the throttle
Hands around the bottle, I think my speakers are blown
No rubber on my tire, I'm a gettin' higher
Higher than I've ever Known
And I ain't coming down
I can't remember the last time I touched the ground
You look at me like I'm gonna let you down
Hey, every time I come around
You got your finger on my button
Actin like it's nothing, bitchin' from your golden throne
You ain't no anybody, actin' high and mighty
Waitin' for me to explode, fire in the hole
Look out, down below, here I go
You're wasting time, why bother even coming 'round
add the bass ya'll....
add the trumpet ya'll...
well im five on a good day six, i got plenty of thing
need to fix a bigger chest with dimples in my face with
those i could be pushing seven to eight guitar in hand
add a point to my score no car slide me down to a four
six feet with a pair of blue eyes brings me back up to
five
chorus:
greater than less than equal too
youre making this way to mathematical the value of
personality seems to be dead. all walking around with
numbered halo's on our heads
well...
three's want four's and four's want five's eight's
think nine's have much better lives and its a
reasonable question to ask i guess its all worth doing
the math and i cant and lie to you and say this is
something i dont do but im a nother number crunching
fool whos calculators way overused
chorus:
greater than less than equal too
were making this way to mathematical the value of
personality seems to be dead. all walking around with
numbered halo's on our heads
and im thinking
just one time i wish i could have a nine she'd be hot
and she'd be mine just one time
but for every nine theres a two staring back at you
wish you would do what you wanted the nine too aye ayee
(ohhh noooo)90% of the mental judicial system is based
soley on superficial intuition to me that seems a bit
stange Only talk to people who we think we might be
kissn' that's a lot of ideas to be dismissing WE leave
it to humans to choose the criteria we can't change
doesn't make sence no doesn't make sense doesn't make
sense For the numbers to be where we are
concentrating In my minor sense i condesense in my
minor sense asymetrical interactions simply evaporating
simply evaporating
i'm a five on a good day six got plenty of things need
to fix i need a formua or some sort of plan to focus
I can't see nothin'
but a sphere
and the children are all
filled with straw.
filled with chaff.
(i'm flow? er? ing with the grains)
i fear
a dagger you
struck me
coming slightly.
whispers
i lapped milk from her
the inside of her elbows
like a cat
softly struck me.
i go out staggering, after midnight
just hopin'
the dark wind whispers down dark hallways
to me
to me I fear
well, that's just my way
of sayin'
daggers.
the salt from the inside of her wrists
weeping beams
hold up the moonlight
out in the moonlight keep me staggerin'
hold me up
sdaggerin' across a long black nothing.
i fear a sphere
dagger
I can't see nothin'
but a sphere
and the children are all
filled with straw.
filled with chaff.
(i'm flow
er
ing with the grains)
i fear
a dagger you
struck me
coming slightly.
whispers
i lapped milk from her
the inside of her elbows
like a cat
softly struck me.
i go out staggering, after midnight
just hopin'
the dark wind whispers down dark hallways
to me
to me I fear
well, that's just my way
of sayin'
daggers.
the salt from the inside of her wrists
weeping beams
hold up the moonlight
out in the moonlight keep me staggerin'
hold me up
sdaggerin' across a long black nothing.
i fear a sphere
dagger
Come new year's day's morning
Now what did you promise this time?
Can you remember
What accidentally slipped your mind?
No more degrading
Or humiliating stunts?
What were you saying
Before you pulled down your pants
You're so much more
Than a number on a mensroom wall
So much more
Than a scratch on a bedpost
You're so much more
Than a hole guys get off on
You could be anything at all
I am entitled
To speak my mind about what you do
I'm not patronizing,
I am merely endorsing:
Do what you want to
Not what others expect from you
You are a person
And should demand some respect
You're so much more
Than a number on a mensroom wall
So much more
Than a scratch on a bedpost
You're so much more
Than a hole guys get off on
You could be anything at all
You're so much more
Than a number on a mensroom wall
So much more
Than a scratch on a bedpost
You're so much more
Than a hole guys get off on
You could be anything at all
You're so much more
Than a number on a mensroom
You're so much more
Than a number on a mensroom
You're so much more
Than a number on a mensroom
You're so much more
receive your number enter the machine run through the
program do you really matter? a member of a class ignored
like all the rest schoolbook propaganda jammed inside
your head apathetic system who cares if you can't read?
you're just another fucking number pushed through the
machine open a book become a statistic graduate an